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Artykuły w czasopismach na temat „Spachen”

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Autor: Grafiati

Data publikacji: 25 lipca 2024

Data aktualizacji: 26 lipca 2024

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1

Yeşilkayagil, Medine, i Feyzi Başar. "On the Paranormed Nörlund Sequence Space of Nonabsolute Type". Abstract and Applied Analysis 2014 (2014): 1–9. http://dx.doi.org/10.1155/2014/858704.

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Maddox defined the spaceℓ(p)of the sequencesx=(xk)such that∑k=0∞‍|xk|pk<∞, in Maddox, 1967. In the present paper, the Nörlund sequence spaceNt(p)of nonabsolute type is introduced and proved that the spacesNt(p)andℓ(p)are linearly isomorphic. Besides this, the alpha-, beta-, and gamma-duals of the spaceNt(p)are computed and the basis of the spaceNt(p)is constructed. The classes(Nt(p):μ)and(μ:Nt(p))of infinite matrices are characterized. Finally, some geometric properties of the spaceNt(p)are investigated.

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2

Fu, Xiaohong. "On Isometric Extension in the Spacesn(H)". Journal of Function Spaces 2014 (2014): 1–4. http://dx.doi.org/10.1155/2014/678407.

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3

Taylor, Neil, i Subhashni Nathan. "Some Issues Facing Environmental Organisations in Developing Countries: A Case Study of the South Pacific Action Committee for Human Ecology and the Environment". Australian Journal of Environmental Education 19 (2003): 69–79. http://dx.doi.org/10.1017/s0814062600001488.

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AbstractThe South Pacific Action Committee for Human Ecology and the Environment (SPACHEE) is a regional environmental Non Government Organisation (NGO) based in Fiji but serving twelve small island nations in the South Pacific region, and involved in both formal and non-formal environmental education. At present its membership base is very limited numerically, regionally and also in terms of its socio-economic make up. This article analyses SPACHEE's current membership and issues base and makes a number of recommendations as to how the organisation might broaden these. Some suggestions are also made as to how SPACHEE might link its work more explicitly to issues of equality and social justice. These suggestions may have implications for other environmental NGOs in larger developing countries in the region which face similar environmental issues, such as loss of rainforest, degradation of coral reefs and mangrove destruction.

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4

Yang, Xiaoyu, Siyuan Zheng, Yanfeng Zhao, Dongsheng Chen, Feng Tong i Shuaifeng Hao. "SPACNet: A Simulation Platform of an Acoustic Cognitive Network". Journal of Marine Science and Engineering 11, nr 9 (19.09.2023): 1827. http://dx.doi.org/10.3390/jmse11091827.

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Originating from the concept of cognitive networks (CNs), which are becoming popular in wireless terrestrial communication scenarios, underwater acoustic cognitive networks (UACNs) are drawing more and more attention in the field of the Internet of Underwater Things (IoUT). However, as the implementation of cognitive mechanisms in underwater acoustic networks is different from that of wireless scenarios, it is impossible or difficult for traditional simulation platforms to carry out simulations of UACNs. There is a lack of specialized simulation tools in terms of UACNs. To enable the quantitative evaluation of the effectiveness and performance enhancement of a UACNs in an adverse underwater environment, a simulation platform of acoustic cognitive networks (SPACNet) was designed and investigated in this article. First, based on a state machine-based protocol programming framework, the SPACNet is capable of supporting the implementation of different state-transform types associated with cognitive networking protocols. Moreover, to facilitate the realization of cognitive function at comprehensive levels of signal, information, and link, an underwater acoustic channel model with an environmental parameter input is integrated in SPACNet to generate underwater environment-driven multiple-aspect behaviors. Moreover, a simplified collision model consisting of an environment factor, channel response, and node location is used to reduce the complexity of the simulation of UACNs signal reception. A simulation was carried out to verify the effectiveness of SPACNet in evaluating the cognitive capabilities of UACNs. Finally, a field UACNs experiment was performed to validate the general consistency between the conclusion obtained with the SPACNet-based simulation and that from the field test.

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5

Mursaleen, M., i A. Latif. "Applications of Measure of Noncompactness in Matrix Operators on Some Sequence Spaces". Abstract and Applied Analysis 2012 (2012): 1–10. http://dx.doi.org/10.1155/2012/378250.

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We determine the conditions for some matrix transformations fromn(ϕ), where the sequence spacen(ϕ), which is related to theℓpspaces, was introduced by Sargent (1960). We also obtain estimates for the norms of the bounded linear operators defined by these matrix transformations and find conditions to obtain the corresponding subclasses of compact matrix operators by using the Hausdorff measure of noncompactness.

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6

Butzbach, Kathrin, Matthias Konhäuser, Matthias Fach, Denise Bamberger, Benjamin Breitenbach, Bernd Epe i Peter Wich. "Receptor-mediated Uptake of Folic Acid-functionalized Dextran Nanoparticles for Applications in Photodynamic Therapy". Polymers 11, nr 5 (16.05.2019): 896. http://dx.doi.org/10.3390/polym11050896.

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In photodynamic therapy (PDT), photosensitizers and light are used to cause photochemically induced cell death. The selectivity and the effectiveness of the phototoxicity in cancer can be increased by a specific uptake of the photosensitizer into tumor cells. A promising target for this goal is the folic acid receptor α (FRα), which is overexpressed on the surface of many tumor cells and mediates an endocytotic uptake. Here, we describe a polysaccharide-based nanoparticle system suitable for targeted uptake and its photochemical and photobiological characterization. The photosensitizer 5, 10, 15, 20-tetraphenyl-21H, 23H-porphyrine (TPP) was encapsulated in spermine- and acetal-modified dextran (SpAcDex) nanoparticles and conjugated with folic acid (FA) on the surface [SpAcDex(TPP)-FA]. The particles are successfully taken up by human HeLa-KB cells, and a light-induced cytotoxicity is observable. An excess of free folate as the competitor for the FRα-mediated uptake inhibits the phototoxicity. In conclusion, folate-modified SpAcDex particles are a promising drug delivery system for a tumor cell targeted photodynamic therapy.

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7

Tadesse, Abebaw. "Extension of Zhu's solution to Lotto's conjecture on the weighted Bergman spaces". International Journal of Mathematics and Mathematical Sciences 2004, nr 41 (2004): 2199–203. http://dx.doi.org/10.1155/s0161171204201260.

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8

Köck, Bernhard, i Joseph Tait. "Faithfulness of Actions on Riemann-Roch Spaces". Canadian Journal of Mathematics 67, nr 4 (1.08.2015): 848–69. http://dx.doi.org/10.4153/cjm-2014-015-2.

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AbstractGiven a faithful action of a finite groupGon an algebraic curveXof genusgX≥ 2, we giveexplicit criteria for the induced action ofGon the Riemann–Roch spaceH0(X,OX(D)) to be faithful,whereDis aG-invariant divisor on X of degree at least 2gX− 2. This leads to a concise answer to the question of when the action ofGon the spaceH0(X,Ωx⊗m) of global holomorphic polydifferentials of order m is faithful. IfXis hyperelliptic, we provide an explicit basis of H0(X,Ωx⊗m). Finally, we giveapplications in deformation theory and in coding theory and discuss the analogous problem for theaction ofGon the first homologyH1(X,ℤ/mℤ) ifXis a Riemann surface.

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9

König, Romy. "Zwischen Science-Fiction und Alltag". kma - Klinik Management aktuell 18, nr 04 (kwiecień 2013): 50–52. http://dx.doi.org/10.1055/s-0036-1576881.

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10

Kim, Taekyun, Dae San Kim i Dmitry V. Dolgy. "Some Identities on Bernoulli and Hermite Polynomials Associated with Jacobi Polynomials". Discrete Dynamics in Nature and Society 2012 (2012): 1–11. http://dx.doi.org/10.1155/2012/584643.

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11

Wu, Kweimei. "Extension ofn-dimensional Euclidean vector spaceEnoverℝto pseudo-fuzzy vector space overFp1(1)". International Journal of Mathematics and Mathematical Sciences 2003, nr 37 (2003): 2349–73. http://dx.doi.org/10.1155/s0161171203007932.

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For any two pointsP=(p(1),p(2),…,p(n))andQ=(q(1),q(2),…,q(n))ofℝn, we define the crisp vectorPQ⟶=(q(1)−p(1),q(2)−p(2),…,q(n)−p(n))=Q(−)P. Then we obtain ann-dimensional vector spaceEn={PQ⟶| for all P,Q∈ℝn}. Further, we extend the crisp vector into the fuzzy vector on fuzzy sets ofℝn. LetD˜,E˜be any two fuzzy sets onℝnand define the fuzzy vectorE˜D˜⟶=D˜⊖E˜, then we have a pseudo-fuzzy vector space.

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12

Tutal, Adrian, Torben Wiegand i Andrea Osburg. "Entwicklung eines Anti-Schimmel-Gipsspachtels unter Verwendung alternativer Fungizide". Bausubstanz 12, nr 5 (2021): 36–43. http://dx.doi.org/10.51202/2190-4278-2021-5-36.

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Schimmelpilzbildung und -wachstum treten insbesondere dann auf, wenn an einem Ort eine Feuchtequelle und ein Nährstoffangebot gleichzeitig vorliegen. Rund 41 % der deutschen Bevölkerung war im eigenen Wohnraum schon einmal mit Schimmelbildung konfrontiert. Aufgrund des hohen Sanierungsbedarfs sind am Markt verschiedene Produkte vertreten. Häufig werden pilzwidrige Spachtel-Beschichtungen aufgebracht. Deren Wirkung basiert meist auf der angeblich dauerhaften Alkalität von Zement- und/ oder Kalkbindemitteln, die bekanntlich durch die Reaktion mit Luft-CO2 abgebaut wird. In anderen Produkten kommen Fungizide zum Einsatz. Schimmelschutzfarben wirken nach Herstellerangaben beispielsweise durch chemisch-organische Biozide, hohe Alkalität, Nanosilber oder silberdotiertes Zinkglaspulver. Durch die Verwendung von alternativen Fungiziden soll das Gesundheitsrisiko gesenkt werden. Eine der Ursachen der Schimmelpilzbildung, nämlich die Kondensation an Wärmebrücken, wird dabei häufig außer Acht gelassen. Zielführender wäre es, die Oberflächentemperatur im entsprechenden Bereich durch den Einsatz von Dämmstoffen zu erhöhen und damit der Kondenswasserbildung vorzubeugen. Eine entsprechende Dämmung muss zudem mit einem Spachtel verputzt werden, welcher die Schimmelbildung zusätzlich verhindert. Die zu entwickelnde Spachtelmasse sollte daher zum Schutz der Dämmstoffe und zusätzlich zur Wärmedämmung beitragen. Das Ziel des hier beschriebenen Forschungsprojekts war es, einen Spachtel auf Grundlage von Gips und nicht toxischen Fungiziden zu entwickeln. Diese Metadaten wurden zur Verfügung gestellt von der Literaturdatenbank RSWB®plus

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13

Al-Qassem, Hussain, Leslie Cheng i Yibiao Pan. "Logarithmic Bounds for Oscillatory Singular Integrals on Hardy Spaces". Journal of Function Spaces 2016 (2016): 1–5. http://dx.doi.org/10.1155/2016/1570109.

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14

Sayyed, K. A. M., i M. S. Metwally. "Effectiveness of similar sets of polynomials of two complex variables in polycylinders and in Faber regions". International Journal of Mathematics and Mathematical Sciences 21, nr 3 (1998): 587–93. http://dx.doi.org/10.1155/s0161171298000817.

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15

Stević, Stevo. "Essential Norms of Weighted Composition Operators from theα-Bloch Space to a Weighted-Type Space on the Unit Ball". Abstract and Applied Analysis 2008 (2008): 1–11. http://dx.doi.org/10.1155/2008/279691.

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16

Reni Anggraeni, Akhmad Yazidi Lilis Selestyawati. "KETERBACAAN BUKU AJAR BAHASA INDONESIA DI SEKOLAH MENENGAH PERTAMA (TEXT BOOK READABILITY OF INDONESIAN LANGUAGE IN JUNIOR HIGH SCHOOL)". JURNAL BAHASA, SASTRA DAN PEMBELAJARANNYA 7, nr 2 (26.01.2018): 293. http://dx.doi.org/10.20527/jbsp.v7i2.4428.

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Keterbacaan Buku Ajar Bahasa Indonesia di Sekolah Menengah Pertama. Keterbacaan berkaitandengan dapat dibacanya teks secara cepat, mudah dimengerti, mudah dipahami, dan mudah diingatserta sesuai dengan tingkat pembelajar. Beberapa fomula keterbacaan, antara lain:Flesh Grade Level,Flesh Reading Ease, Forcast, formula Spache, formula Daledan Chall, formula SMOG, grafiks Fry, grafiksRaygor, indeks FOG, dan Tes Cloze. Keterbacaan bahasa Indonesia buku ajar di sekolah MenengahPertama, dari hasil penelitian disimpulkan bahwa hanya 13.88% bahan ajar yang sesuai dengan tingkatkelas VII. Sebagian besar lainya lebih tinggi dan sebagian kecil lainnya lebih rendah dari kelas VII.Kata-kata kunci: keterbacaan, formula

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17

Mignonneau, Laurent, i Christa Sommerer. "Creating Artificial Life for Interactive Art and Entertainment". Leonardo 34, nr 4 (sierpień 2001): 303–7. http://dx.doi.org/10.1162/00240940152549212.

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This article consists of two sections: the first provides a brief overview of artificial-life art and entertainment software, some of the main products and their peculiarities; and the second describes one of the authors' artificial-life software products, called Life Spacies II, which was created between 1997 and 1999. This system consists of a web page that allows users to create artificial-life creatures by simply typing in text characters using a web page “editor.” Written text is used as genetic code to model the creature's body. The body shape subsequently influences the creature's ability to move, which in turn determines the creature's behavior, survival and reproduction within the Life Spacies II environment. In addition, users of the system can feed the creatures with text characters and thus even more actively influence the creatures' survival and reproduction in their environment.

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18

Wu, Meng, i Chong Lai. "The Uniqueness of Strong Solutions for the Camassa-Holm Equation". Journal of Function Spaces and Applications 2013 (2013): 1–7. http://dx.doi.org/10.1155/2013/409760.

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Assume that there exists a strong solution of the Camassa-Holm equation and the initial value of the solution belongs to the Sobolev spaceH1(R). We provide a new proof of the uniqueness of the strong solution for the equation.

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19

Farroni, Fernando, i Raffaella Giova. "The Distance toL∞in the Grand Orlicz Spaces". Journal of Function Spaces and Applications 2013 (2013): 1–7. http://dx.doi.org/10.1155/2013/658527.

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We establish a formula for the distance toL∞from the grand Orlicz spaceLΦ)Ωintroduced in Capone et al. (2008). A new formula for the distance toL∞from the grand Lebesgue spaceLn)Ωintroduced in Iwaniec and Sbordone (1992) is also provided.

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20

Sepúlveda Ramírez, Gabriela, i Alicia Jofré Pérez. "Adaptación para escolares chilenos de las escalas diagnósticas de lectura de Spache". Revista de Psicología 6 (1.01.1997): 113. http://dx.doi.org/10.5354/0719-0581.1997.18652.

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Se adaptaron al idioma español de las Escalas Diagnóstica de Lectura de Spache, los párrafos de lectura secuenciados por complejidad creciente de 1° a 8° básico, que evalúan la lectura a nivel instruccional, independiente, y potencial. Estos párrafos se aplicaron a una muestra de 627 niños chilenos de ambos sexos, de 5, 6 años a 16 años de edad, de enseñanza básica fiscal y particular. Se realizaron los resultados en relación a la calidad, velocidad, errores y comprensión de lectura; comparándose los rendimientos entre niños de colegios fiscales y particulares, encontrándose diferencias significativas entre ambos grupos.

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21

Wu, Meng. "On the Study of Local Solutions for a Generalized Camassa-Holm Equation". Abstract and Applied Analysis 2012 (2012): 1–17. http://dx.doi.org/10.1155/2012/164876.

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The pseudoparabolic regularization technique is employed to study the local well-posedness of strong solutions for a nonlinear dispersive model, which includes the famous Camassa-Holm equation. The local well-posedness is established in the Sobolev spaceHs(R)withs>3/2via a limiting procedure.

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22

Banerji, P. K., i S. K. Al-Omari. "Multipliers and operators on the tempered ultradistribution spaces of Roumieu type for the distributional Hankel-type transformation spaces". International Journal of Mathematics and Mathematical Sciences 2006 (2006): 1–7. http://dx.doi.org/10.1155/ijmms/2006/31682.

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The tempered ultradistribution space of Roumieu type for the spaceHμ,νis defined, which is a subspace of the Hausdörff locally convex topological linear space. Further, results are obtained for the multipliers and operators on the tempered ultradistribution spaces for the distributional Hankel-type transformation spaces.

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23

Thakur, Balwant Singh, i Jong Soo Jung. "Fixed point theorems for generalized Lipschitzian semigroups in Banach spaces". International Journal of Mathematics and Mathematical Sciences 22, nr 1 (1999): 119–29. http://dx.doi.org/10.1155/s0161171299221199.

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Fixed point theorems for generalized Lipschitzian semigroups are proved inp-uniformly convex Banach spaces and in uniformly convex Banach spaces. As applications, its corollaries are given in a Hilbert space, inLpspaces, in Hardy spaceHp, and in Sobolev spacesHk,p, for1<p<∞andk≥0.

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24

Gaillard, Pierre-Yves. "Harmonic Spinors on Hyperbolic Space". Canadian Mathematical Bulletin 36, nr 3 (1.09.1993): 257–62. http://dx.doi.org/10.4153/cmb-1993-037-7.

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AbstractThe purpose for this short note is to describe the space of harmonic spinors on hyperbolicn-spaceHn. This is a natural continuation of the study of harmonic functions onHnin [Minemura] and [Helgason]—these results were generalized in the form of Helgason's conjecture, proved in [KKMOOT],—and of [Gaillard 1, 2], where harmonic forms onHnwere considered. The connection between invariant differential equations on a Riemannian semisimple symmetric spaceG/Kand homological aspects of the representation theory ofG, as exemplified in (8) below, does not seem to have been previously mentioned. This note is divided into three main parts respectively dedicated to the statement of the results, some reminders, and the proofs. I thank the referee for having suggested various improvements.

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25

Zhang, Zai-yun, i Zhen-hai Liu. "Global Attractor for the Generalized Dissipative KDV Equation with Nonlinearity". International Journal of Mathematics and Mathematical Sciences 2011 (2011): 1–21. http://dx.doi.org/10.1155/2011/725045.

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We discuss global attractor for the generalized dissipative KDV equation with nonlinearity under the initial conditionu(x,0)=u0(x). We prove existence of a global attractor in spaceH2(Ω), by using decomposition method with cut-off function andKuratowskiα-measure in order to overcome the noncompactness of the classical Sobolev embedding.

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26

Wang, Guolian. "A Stochastic Weakly Damped, Forced KdV-BO Equation". Abstract and Applied Analysis 2014 (2014): 1–8. http://dx.doi.org/10.1155/2014/576087.

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We investigate the long time behavior of the damped, forced KdV-BO equation driven by white noise. We first show that the global solution generates a random dynamical system. By energy type estimates and dispersive properties, we then prove that this system possesses a weak random attractor in the spaceH1(ℝ).

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27

Yan, Haibo, Ls Yong, Yu Yang i Yang Wang. "On the Existence of Global Weak Solutions for a Weakly Dissipative Hyperelastic Rod Wave Equation". Journal of Applied Mathematics 2014 (2014): 1–8. http://dx.doi.org/10.1155/2014/264162.

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Assuming that the initial valuev0(x)belongs to the spaceH1(R), we prove the existence of global weak solutions for a weakly dissipative hyperelastic rod wave equation in the spaceC([0,∞)×R)⋂‍L∞([0,∞);H1(R)). The limit of the viscous approximation for the equation is used to establish the existence.

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28

Ye, Shanli. "Norm and Essential Norm of Composition Followed by Differentiation from Logarithmic Bloch Spaces toHμ∞". Abstract and Applied Analysis 2014 (2014): 1–6. http://dx.doi.org/10.1155/2014/725145.

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In this note we express the norm of composition followed by differentiationDCφfrom the logarithmic Bloch and the little logarithmic Bloch spaces to the weighted spaceHμ∞on the unit disk and give an upper and a lower bound for the essential norm of this operator from the logarithmic Bloch space toHμ∞.

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29

Zhu, Xiangling. "Weighted Composition Operators fromF(p,q,s)Spaces toHμ∞Spaces". Abstract and Applied Analysis 2009 (2009): 1–14. http://dx.doi.org/10.1155/2009/290978.

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LetH(B)denote the space of all holomorphic functions on the unit ballB. Letu∈H(B)andφbe a holomorphic self-map ofB. In this paper, we investigate the boundedness and compactness of the weighted composition operatoruCφfrom the general function spaceF(p,q,s)to the weighted-type spaceHμ∞in the unit ball.

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30

Hodzic, Sandra, i Bosko Jovanovic. "Finite difference approximation of an elliptic problem with nonlocal boundary condition". Filomat 30, nr 6 (2016): 1549–57. http://dx.doi.org/10.2298/fil1606549h.

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We consider Poisson?s equation on the unit square with a nonlocal boundary condition. The existence and uniqueness of its weak solution in Sobolev spaceH1 is proved. A finite difference scheme approximating this problem is proposed. An error estimate compatible with the smoothness of input data in discrete H1 Sobolev norm is obtained.

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31

Abd-Ellah, H. N. "Motion of Bishop Frenet Offsets of Ruled Surfaces inE3". Journal of Applied Mathematics 2015 (2015): 1–11. http://dx.doi.org/10.1155/2015/218956.

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The main goal of this paper is to study the motion of two associated ruled surfaces in Euclidean 3-spaceE3. In particular, the motion of Bishop Frenet offsets of ruled surfaces is investigated. Additionally, the characteristic properties for such ruled surfaces are given. Finally, an application is presented and plotted using computer aided geometric design.

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32

Arora, S. C., i Jyoti Bhola. "Essentiallyλ-Hankel Operators". Journal of Mathematics 2013 (2013): 1–5. http://dx.doi.org/10.1155/2013/865396.

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The notion of essentiallyλ-Hankel operators is introduced on the spaceH2. In addition to the discussion of some algebraic and topological properties of the setessHankλ, the set of all essentiallyλ-Hankel operators onH2, it is shown that an essentially Toeplitz Rhaly operator with determining sequence〈an〉is inessHankλλ≠0if and only iflimn→∞n+1an=0.

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33

Yin, Zheng. "Several Dynamic Properties of Solutions to a Generalized Camassa-Holm Equation". Abstract and Applied Analysis 2013 (2013): 1–5. http://dx.doi.org/10.1155/2013/247841.

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For a nonlinear generalization of the Camassa-Holm equation, we investigate the dynamic properties of solutions for the equation under the assumption that the initial valueu0(x)lies in the spaceH1(R). A one-sided upper bound estimate on the first-order spatial derivative,Lpbound estimate, and a space-time higher-norm estimate for the solutions are obtained.

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34

Affentranger, Fernando. "Random circles in the d-dimensional unit ball". Journal of Applied Probability 26, nr 02 (czerwiec 1989): 408–12. http://dx.doi.org/10.1017/s0021900200027406.

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This note gives the solution of the following problem concerning geometric probabilities. What is the probabilityp(Bd; 2) that the circumference determined by three pointsP, P1andP2chosen independently and uniformly at random in the interior of ad-dimensional unit ballBdin Euclidean spaceEd(d≧ 2) is entirely contained inBd? From our result we conclude thatp(Bd; 2) →π /(3√3) asd→∞.

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35

Xue, Ruying. "On the local well-posedness of a Benjamin-Ono-Boussinesq system". International Journal of Mathematics and Mathematical Sciences 2005, nr 22 (2005): 3609–30. http://dx.doi.org/10.1155/ijmms.2005.3609.

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Consider a Benjamin-Ono-Boussinesq systemηt+ux+auxxx+(uη)x=0,ut+ηx+uux+cηxxx−duxxt=0, wherea,c, anddare constants satisfyinga=c>0,d>0ora<0,c<0,d>0. We prove that this system is locally well posed in Sobolev spaceHs(ℝ)×Hs+1(ℝ), withs>1/4.

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36

Wu, Meng, i Yue Zhong. "The Local Strong and Weak Solutions for a Generalized Novikov Equation". Abstract and Applied Analysis 2012 (2012): 1–14. http://dx.doi.org/10.1155/2012/158126.

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The Kato theorem for abstract differential equations is applied to establish the local well-posedness of the strong solution for a nonlinear generalized Novikov equation in spaceC([0,T),Hs(R))∩C1([0,T),Hs-1(R))withs>(3/2). The existence of weak solutions for the equation in lower-order Sobolev spaceHs(R)with1≤s≤(3/2)is acquired.

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37

Wang, Hongjun, Yongqi Liu i Yongqiang Chen. "The Cauchy Problem for a Fifth-Order Dispersive Equation". Abstract and Applied Analysis 2014 (2014): 1–8. http://dx.doi.org/10.1155/2014/404781.

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This paper is devoted to studying the Cauchy problem for a fifth-order equation. We prove that it is locally well-posed for the initial data in the Sobolev spaceHs(R)withs≥1/4. We also establish the ill-posedness for the initial data inHs(R)withs<1/4. Thus, the regularity requirement for the fifth-order dispersive equationss≥1/4is sharp.

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38

Abouelaz, Ahmed, Abdallah Ihsane i Takeshi Kawazoe. "On the Range of the Radon Transform onZnand the Related Volberg’s Uncertainty Principle". Journal of Mathematics 2015 (2015): 1–9. http://dx.doi.org/10.1155/2015/375017.

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We characterize the image of exponential type functions under the discrete Radon transformRon the latticeZnof the Euclidean spaceRn n≥2. We also establish the generalization of Volberg's uncertainty principle onZn, which is proved by means of this characterization. The techniques of which we make use essentially in this paper are those of the Diophantine integral geometry as well as the Fourier analysis.

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39

Barradas, Ignacio, i Salvador Perez-Esteva. "Solution to a parabolic equation with integral type boundary condition". International Journal of Mathematics and Mathematical Sciences 16, nr 4 (1993): 775–81. http://dx.doi.org/10.1155/s0161171293000961.

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In this paper we study the existence, and continuous dependence of the solutionϑ=ϑ(x,t)on a Hölder spaceH2+γ,1+γ/2(Q¯τ)(Q¯τ=[0,1]×[0,τ], 0<γ<1)of a linear parabolic equation, prescribingϑ(x,0)=f(x),ϑx(1,τ)=g(τ)the integral type condition∫0bϑ(x,τ)dx=E(τ).

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40

Lai, Shaoyong. "The Local Strong and Weak Solutions for a Nonlinear Dissipative Camassa-Holm Equation". Abstract and Applied Analysis 2011 (2011): 1–15. http://dx.doi.org/10.1155/2011/285040.

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Using the Kato theorem for abstract differential equations, the local well-posedness of the solution for a nonlinear dissipative Camassa-Holm equation is established in spaceC([0,T),Hs(R))∩C1([0,T),Hs-1(R))withs>3/2. In addition, a sufficient condition for the existence of weak solutions of the equation in lower order Sobolev spaceHs(R)with1≤s≤3/2is developed.

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41

Raza, Mohsan, Muhey U. Din i Sarfraz Nawaz Malik. "Certain Geometric Properties of Normalized Wright Functions". Journal of Function Spaces 2016 (2016): 1–8. http://dx.doi.org/10.1155/2016/1896154.

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In this article, we find some geometric properties like starlikeness, convexity of orderα, close-to-convexity of order1+α/2, and close-to-convexity of normalized Wright functions with respect to the certain functions. The sufficient conditions for the normalized Wright functions belonging to the classesTγαandLγαare the part of our investigations. We also obtain the conditions on normalized Wright function to belong to the Hardy spaceHp.

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42

Toumi, Faten. "Existence of blowup solutions for nonlinear problems with a gradient term". International Journal of Mathematics and Mathematical Sciences 2006 (2006): 1–11. http://dx.doi.org/10.1155/ijmms/2006/80605.

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We prove the existence of positive explosive solutions for the equationΔu+λ(|x|)|∇u(x)|=ϕ(x,u(x))in the whole spaceℝN(N≥3), whereλ:[0,∞)→[0,∞)is a continuous function andϕ:ℝN×[0,∞)→[0,∞)is required to satisfy some hypotheses detailed below. More precisely, we will give a necessary and sufficient condition for the existence of a positive solution that blows up at infinity.

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43

Sheng, Zhaowei, Shaoyong Lai, Yuan Ma i Xuanjun Luo. "TheH1(R)Space Global Weak Solutions to the Weakly Dissipative Camassa-Holm Equation". Abstract and Applied Analysis 2012 (2012): 1–21. http://dx.doi.org/10.1155/2012/693010.

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The existence of global weak solutions to the Cauchy problem for a generalized Camassa-Holm equation with a dissipative term is investigated in the spaceC([0,∞)×R)∩L∞([0,∞);H1(R))provided that its initial valueu0(x)belongs to the spaceH1(R). A one-sided super bound estimate and a space-time higher-norm estimate on the first-order derivatives of the solution with respect to the space variable are derived.

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44

Kim, D. S., i T. Kim. "Euler Basis, Identities, and Their Applications". International Journal of Mathematics and Mathematical Sciences 2012 (2012): 1–15. http://dx.doi.org/10.1155/2012/343981.

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LetVn={p(x)∈ℚ[x]|deg p(x)≤n}be the(n+1)-dimensional vector space overℚ. We show that{E0(x),E1(x),…,En(x)}is a good basis for the spaceVn, for our purpose of arithmetical and combinatorial applications. Thus, ifp(x)∈ℚ[x]is of degreen, thenp(x)=∑l=0nblEl(x)for some uniquely determinedbl∈ℚ. In this paper we develop method for computingblfrom the information ofp(x).

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45

Lu, Qiuying, Guifeng Deng i Weipeng Zhang. "Random Attractors for Stochastic Ginzburg-Landau Equation on Unbounded Domains". Abstract and Applied Analysis 2014 (2014): 1–12. http://dx.doi.org/10.1155/2014/428685.

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We prove the existence of a pullback attractor inL2(ℝn)for the stochastic Ginzburg-Landau equation with additive noise on the entiren-dimensional spaceℝn. We show that the stochastic Ginzburg-Landau equation with additive noise can be recast as a random dynamical system. We demonstrate that the system possesses a uniqueD-random attractor, for which the asymptotic compactness is established by the method of uniform estimates on the tails of its solutions.

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46

Li, Nan, Shaoyong Lai, Shuang Li i Meng Wu. "The Local and Global Existence of Solutions for a Generalized Camassa-Holm Equation". Abstract and Applied Analysis 2012 (2012): 1–26. http://dx.doi.org/10.1155/2012/532369.

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A nonlinear generalization of the Camassa-Holm equation is investigated. By making use of the pseudoparabolic regularization technique, its local well posedness in Sobolev spaceHS(R)withs>3/2is established via a limiting procedure. Provided that the initial valueu0satisfies the sign condition andu0∈Hs(R) (s>3/2), it is shown that there exists a unique global solution for the equation in spaceC([0,∞);Hs(R))∩C1([0,∞);Hs−1(R)).

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47

Oniani, Georgi G. "On the measure of non-compactness of maximal operators". Journal of Function Spaces and Applications 2, nr 2 (2004): 217–25. http://dx.doi.org/10.1155/2004/786419.

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In one of the previous articles of the author it was proved that ifBis a convex quasi-density measurable basis andEis a symmetric space onRnwith respect to the Lebesgue measure, then there do not exist non-orthogonal weightswandvfor which the maximal operatorMBcorresponding toBacts compactly from the weight spaceEwto the weight spaceEv. Here it is given the generalization of this result, in particular, it is estimated from below the measure of non-compactness of the mentioned operators.

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48

Benkafadar, N. M., i B. D. Gel'man. "On a local degree for a class of multi-valued vector fields in infinite dimensional Banach spaces". Abstract and Applied Analysis 1, nr 4 (1996): 381–96. http://dx.doi.org/10.1155/s1085337596000206.

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This paper is devoted to the development of a local degree for multi-valued vector fields of the formf−F. Here,fis a single-valued, proper, nonlinear, Fredholm,C1-mapping of index zero andFis a multi-valued upper semicontinuous, admissible, compact mapping with compact images. The mappingsfandFare acting from a subset of a Banach spaceEinto another Banach spaceE1. This local degree is used to investigate the existence of solutions of a certain class of operator inclusions.

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49

de Lima, Henrique F., i Joseilson R. de Lima. "Compact Spacelike Hypersurfaces with Constant Mean Curvature in the Antide Sitter Space". International Journal of Mathematics and Mathematical Sciences 2009 (2009): 1–12. http://dx.doi.org/10.1155/2009/673508.

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We obtain a height estimate concerning to a compact spacelike hypersurfaceΣnimmersed with constant mean curvatureHin the anti-de Sitter spaceℍ1n+1, when its boundary∂Σis contained into an umbilical spacelike hypersurface of this spacetime which is isometric to the hyperbolic spaceℍn. Our estimate depends only on the value ofHand on the geometry of∂Σ.As applications of our estimate, we obtain a characterization of hyperbolic domains ofℍ1n+1and nonexistence results in connection with such types of hypersurfaces.

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50

Filipechev, A. O., A. V. Belyachenko i K. S. Zakharov. "Spatial Distribution Features of Some Species of Mustlids (Car nivora, Mustelidae) in the North of the Lower Volga Region". Izvestiya of Saratov University. Chemistry. Biology. Ecology 10, nr 1 (2010): 24–28. http://dx.doi.org/10.18500/1816-9775-2010-10-1-24-28.

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Specific distributions features of distribution of 9 species of martens in the north of the Lower Volga region have been demostratet. Calcu lated width of the spatial niches for these predators and their degree of overlap. Widespread spacies of martens in this region are the weasel, stoat and badger. Black polecat, pine and stone martens occupy about half of the possible biotopes, but mink and steppe polecat are found only in a limited number of habitats.

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