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Journal articles on the topic 'Superstability'

To see the other types of publications on this topic, follow the link: Superstability.

Author: Grafiati

Published: 10 December 2022

Last updated: 28 January 2023

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1

Huang, Jinghao, Qusuay Alqifiary, and Yongjin Li. "On the generalized superstability of nth-order linear differential equations with initial conditions." Publications de l'Institut Math?matique (Belgrade) 98, no. 112 (2015): 243–49. http://dx.doi.org/10.2298/pim150129019h.

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We establish the generalized superstability of differential equations of nth-order with initial conditions and investigate the generalized superstability of differential equations of second order in the form of y??(x) + p(x)y?(x)+q(x)y(x) = 0 and the superstability of linear differential equations with constant coefficients with initial conditions.

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2

Brzdęk, Janusz, and Krzysztof Ciepliński. "Hyperstability and Superstability." Abstract and Applied Analysis 2013 (2013): 1–13. http://dx.doi.org/10.1155/2013/401756.

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3

VanDieren, Monica M. "Superstability and symmetry." Annals of Pure and Applied Logic 167, no. 12 (December 2016): 1171–83. http://dx.doi.org/10.1016/j.apal.2016.05.004.

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4

Balakrishnan, A. V. "Superstability of systems." Applied Mathematics and Computation 164, no. 2 (May 2005): 321–26. http://dx.doi.org/10.1016/j.amc.2004.06.052.

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5

Eshaghi Gordji, M., and Z. Alizadeh. "Stability and Superstability of Ring Homomorphisms on Non-Archimedean Banach Algebras." Abstract and Applied Analysis 2011 (2011): 1–10. http://dx.doi.org/10.1155/2011/123656.

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Using fixed point methods, we prove the superstability and generalized Hyers-Ulam stability of ring homomorphisms on non-Archimedean Banach algebras. Moreover, we investigate the superstability of ring homomorphisms in non-Archimedean Banach algebras associated with the Jensen functional equation.

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6

Gordji, Madjid Eshaghi. "Nearly Ring Homomorphisms and Nearly Ring Derivations on Non-Archimedean Banach Algebras." Abstract and Applied Analysis 2010 (2010): 1–12. http://dx.doi.org/10.1155/2010/393247.

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We prove the generalized Hyers-Ulam stability of homomorphisms and derivations on non-Archimedean Banach algebras. Moreover, we prove the superstability of homomorphisms on unital non-Archimedean Banach algebras and we investigate the superstability of derivations in non-Archimedean Banach algebras with bounded approximate identity.

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7

Borkent, B. M., S. M. Dammer, H. Schonherr, G. J. Vancso, and D. Lohse. "Superstability of surface nanobubbles." "Proceedings" of "OilGasScientificResearchProjects" Institute, SOCAR, no. 01 (March 31, 2011): 64–68. http://dx.doi.org/10.5510/ogp20110100059.

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8

Ansari-Piri, Esmaeil, and Ehsan Anjidani. "Superstability of Generalized Derivations." Journal of Inequalities and Applications 2010, no. 1 (2010): 740156. http://dx.doi.org/10.1155/2010/740156.

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9

Székelyhidi, L. "An abstract superstability theorem." Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 59, no. 1 (December 1989): 81–83. http://dx.doi.org/10.1007/bf02942317.

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10

Hyttinen, Tapani, and Meeri Kesälä. "Superstability in simple finitary AECs." Fundamenta Mathematicae 195, no. 3 (2007): 221–68. http://dx.doi.org/10.4064/fm195-3-3.

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11

Anjidani, Ehsan, and Esmaeil Ansari-Piri. "SUPERSTABILITY OF MULTIPLICATIVE LINEAR MAPPINGS." Communications of the Korean Mathematical Society 26, no. 2 (April 30, 2011): 253–59. http://dx.doi.org/10.4134/ckms.2011.26.2.253.

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12

Shateri, T. L. "Superstability of Generalized Higher Derivations." Abstract and Applied Analysis 2011 (2011): 1–9. http://dx.doi.org/10.1155/2011/239849.

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13

Miura, Takeshi, Hiroyuki Takagi, Makoto Tsukada, and Sin-Ei Takahasi. "Superstability of Generalized Multiplicative Functionals." Journal of Inequalities and Applications 2009, no. 1 (2009): 486375. http://dx.doi.org/10.1155/2009/486375.

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14

Polyak, B. T. "Extended Superstability in Control Theory." Automation and Remote Control 65, no. 4 (April 2004): 567–76. http://dx.doi.org/10.1023/b:aurc.0000023533.13882.13.

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15

Ibeas, Asier. "Superstability of linear switched systems." International Journal of Systems Science 45, no. 11 (February 18, 2013): 2402–10. http://dx.doi.org/10.1080/00207721.2013.770582.

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16

PARK, CHOONKIL. "C*-TERNARY HOMOMORPHISMS, C*-TERNARY DERIVATIONS, JB*-TRIPLE HOMOMORPHISMS AND JB*-TRIPLE DERIVATIONS." International Journal of Geometric Methods in Modern Physics 10, no. 04 (March 6, 2013): 1320001. http://dx.doi.org/10.1142/s0219887813200016.

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Park and Rassias proved the superstability of C*-ternary homomorphisms, C*-ternary derivations, JB*-triple homomorphisms and JB*-triple derivations, associated with the following Apollonius type additive functional equation [Formula: see text] by using direct method. Under the conditions of the theorems, we can show that the mappings f must be zero. In this paper, we correct the conditions. Furthermore, we prove the superstability of C*-ternary homomorphisms, C*-ternary derivations, JB*-triple homomorphisms and JB*-triple derivations by using fixed point method.

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17

Preda, Ciprian. "On the Roughness of Quasinilpotency Property of One-parameter Semigroups." Canadian Mathematical Bulletin 60, no. 2 (June 1, 2017): 364–71. http://dx.doi.org/10.4153/cmb-2016-088-0.

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AbstractLet S := {S(t)}t≥0 be a C0-semigroup of quasinilpotent operators (i.e., σ(S(t)) = {0} for eacht> 0). In dynamical systems theory the above quasinilpotency property is equivalent to a very strong concept of stability for the solutions of autonomous systems. This concept is frequently called superstability and weakens the classical ûnite time extinction property (roughly speaking, disappearing solutions). We show that under some assumptions, the quasinilpotency, or equivalently, the superstability property of a C0-semigroup is preserved under the perturbations of its infinitesimal generator.

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18

Shim, Eon Wha, Su Min Kwon, Yun Tark Hyen, Yong Hun Choi, and Abasalt Bodaghi. "Approximately Ternary Homomorphisms onC*-Ternary Algebras." Abstract and Applied Analysis 2013 (2013): 1–7. http://dx.doi.org/10.1155/2013/734025.

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Gordji et al. established the Hyers-Ulam stability and the superstability ofC*-ternary homomorphisms andC*-ternary derivations onC*-ternary algebras, associated with the following functional equation:fx2-x1/3+fx1-3x3/3+f3x1+3x3-x2/3=fx1, by the direct method. Under the conditions in the main theorems, we can show that the related mappings must be zero. In this paper, we correct the conditions and prove the corrected theorems. Furthermore, we prove the Hyers-Ulam stability and the superstability ofC*-ternary homomorphisms andC*-ternary derivations onC*-ternary algebras by using a fixed point approach.

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19

PARK, CHOONKIL, JUNG RYE LEE, and DONG YUN SHIN. "STABILITY OF J*-DERIVATIONS." International Journal of Geometric Methods in Modern Physics 09, no. 05 (July 3, 2012): 1220009. http://dx.doi.org/10.1142/s0219887812200095.

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Gordji et al. proved the Hyers–Ulam stability and the superstability of J*-derivations in J*-algebras for the generalized Jensen type functional equation [Formula: see text] by using direct method and by fixed point method. They only proved the theorems for the case r > 1. In this paper, we prove the Hyers–Ulam stability and the superstability of J*-derivations in J*-algebras for the case r ≠ 0 of the above generalized Jensen type functional equation by using direct method and by fixed point method under slightly different conditions.

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20

Kim, Hark-Mahn, Gwang Kim, and Mi Han. "Superstability of approximate d'Alembert harmonic functions." Journal of Inequalities and Applications 2011, no. 1 (2011): 118. http://dx.doi.org/10.1186/1029-242x-2011-118.

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21

Ilišević, Dijana, and Aleksej Turnšek. "On superstability of the Wigner equation." Linear Algebra and its Applications 542 (April 2018): 391–401. http://dx.doi.org/10.1016/j.laa.2017.05.051.

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22

VASEY, SEBASTIEN. "FORKING AND SUPERSTABILITY IN TAME AECS." Journal of Symbolic Logic 81, no. 1 (March 2016): 357–83. http://dx.doi.org/10.1017/jsl.2015.51.

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AbstractWe prove that any tame abstract elementary class categorical in a suitable cardinal has an eventually global good frame: a forking-like notion defined on all types of single elements. This gives the first known general construction of a good frame in ZFC. We show that we already obtain a well-behaved independence relation assuming only a superstability-like hypothesis instead of categoricity. These methods are applied to obtain an upward stability transfer theorem from categoricity and tameness, as well as new conditions for uniqueness of limit models.

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23

Gordji, M. Eshaghi, and A. Fazeli. "Stability and superstability of homomorphisms on C*-ternary algebras." Analele Universitatii "Ovidius" Constanta - Seria Matematica 20, no. 1 (May 1, 2012): 173–88. http://dx.doi.org/10.2478/v10309-012-0012-9.

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24

Kim, Soo Hwan, Ga Ya Kim, and Seong Sik Kim. "Stability of Â¤-derivations on Lie CÂ¤-algebras." JOURNAL OF ADVANCES IN PHYSICS 5, no. 3 (October 16, 2014): 810–15. http://dx.doi.org/10.24297/jap.v5i3.1872.

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25

Gordji, M. Eshaghi, M. B. Ghaemi, and Badrkhan Alizadeh. "A Fixed Point Approach to Superstability of Generalized Derivations on Non-Archimedean Banach Algebras." Abstract and Applied Analysis 2011 (2011): 1–9. http://dx.doi.org/10.1155/2011/587097.

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26

Eidinejad, Zahra, Reza Saadati, Donal O’Regan, and Fehaid Salem Alshammari. "Minimum Superstability of Stochastic Ternary Antiderivations in Symmetric Matrix-Valued FB-Algebras and Symmetric Matrix-Valued FC-⋄-Algebras." Symmetry 14, no. 10 (October 3, 2022): 2064. http://dx.doi.org/10.3390/sym14102064.

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Our main goal in this paper is to investigate stochastic ternary antiderivatives (STAD). First, we will introduce the random ternary antiderivative operator. Then, by introducing the aggregation function using special functions such as the Mittag-Leffler function (MLF), the Wright function (WF), the H-Fox function (HFF), the Gauss hypergeometric function (GHF), and the exponential function (EXP-F), we will select the optimal control function by performing the necessary calculations. Next, by considering the symmetric matrix-valued FB-algebra (SMV-FB-A) and the symmetric matrix-valued FC-⋄-algebra (SMV-FC-⋄-A), we check the superstability of the desired operator. After stating each result, the superstability of the minimum is obtained by applying the optimal control function.

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27

Abdellatif, Ben Makhlouf. "Superstability of higher-order fractional differential equations." Annals of the University of Craiova, Mathematics and Computer Science Series 49, no. 1 (June 24, 2022): 11–14. http://dx.doi.org/10.52846/ami.v49i1.1419.

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Using generalized Taylor's formula, this work investigate the superstability for a class of fractional differential equations with Caputo derivative. In this way, some interesting results are generalized.

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28

Yoon Yang, Seo, Abasalt Bodaghi, and Kamel Ariffin Mohd Atan. "Approximate Cubic ∗-Derivations on Banach ∗-Algebras." Abstract and Applied Analysis 2012 (2012): 1–12. http://dx.doi.org/10.1155/2012/684179.

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29

Gordji, M. Eshaghi, M. B. Ghaemi, J. M. Rassias, and Badrkhan Alizadeh. "Nearly Ternary Quadratic Higher Derivations on Non-Archimedean Ternary Banach Algebras: A Fixed Point Approach." Abstract and Applied Analysis 2011 (2011): 1–18. http://dx.doi.org/10.1155/2011/417187.

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We investigate the stability and superstability of ternary quadratic higher derivations in non-Archimedean ternary algebras by using a version of fixed point theorem via quadratic functional equation.

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30

CHUNG, JAEYOUNG. "GENERAL STABILITY OF THE EXPONENTIAL AND LOBAČEVSKIǏ FUNCTIONAL EQUATIONS." Bulletin of the Australian Mathematical Society 94, no. 2 (March 8, 2016): 278–85. http://dx.doi.org/10.1017/s0004972716000095.

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Let $S$ be a semigroup possibly with no identity and $f:S\rightarrow \mathbb{C}$. We consider the general superstability of the exponential functional equation with a perturbation $\unicode[STIX]{x1D713}$ of mixed variables $$\begin{eqnarray}\displaystyle |f(x+y)-f(x)f(y)|\leq \unicode[STIX]{x1D713}(x,y)\quad \text{for all }x,y\in S. & & \displaystyle \nonumber\end{eqnarray}$$ In particular, if $S$ is a uniquely $2$-divisible semigroup with an identity, we obtain the general superstability of Lobačevskiǐ’s functional equation with perturbation $\unicode[STIX]{x1D713}$$$\begin{eqnarray}\displaystyle \biggl|f\biggl(\frac{x+y}{2}\biggr)^{2}-f(x)f(y)\biggr|\leq \unicode[STIX]{x1D713}(x,y)\quad \text{for all }x,y\in S. & & \displaystyle \nonumber\end{eqnarray}$$

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31

Kaczorek, T. "Superstabilization of positive linear electrical circuit by state-feedbacks." Bulletin of the Polish Academy of Sciences Technical Sciences 65, no. 5 (October 1, 2017): 703–8. http://dx.doi.org/10.1515/bpasts-2017-0075.

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Abstract The concept of superstability of positive linear electrical circuits is introduced and its properties are characterized. The superstabilization of positive and nonpositive electrical circuits by state-feedbacks is analyzed.

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32

GORDJI, M. ESHAGHI, M. B. GHAEMI, and B. ALIZADEH. "A FIXED-POINT METHOD FOR PERTURBATION OF HIGHER RING DERIVATIONS IN NON-ARCHIMEDEAN BANACH ALGEBRAS." International Journal of Geometric Methods in Modern Physics 08, no. 07 (November 2011): 1611–25. http://dx.doi.org/10.1142/s021988781100583x.

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In this paper, we investigate the generalized Hyres–Ulam–Rassias stability and Bourgin-type superstability of higher derivations in non-Archimedean Banach algebras by using a version of fixed-point theorem.

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33

Székelyhidi, László. "Superstability of functional equations related to spherical functions." Open Mathematics 15, no. 1 (April 17, 2017): 427–32. http://dx.doi.org/10.1515/math-2017-0038.

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Abstract In this paper we prove stability-type theorems for functional equations related to spherical functions. Our proofs are based on superstability-type methods and on the method of invariant means.

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34

Kim, GwangHui. "Superstability of Some Pexider-Type Functional Equation." Journal of Inequalities and Applications 2010, no. 1 (2010): 985348. http://dx.doi.org/10.1155/2010/985348.

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35

Wendel, Eric, and Aaron D. Ames. "Rank deficiency and superstability of hybrid systems." Nonlinear Analysis: Hybrid Systems 6, no. 2 (May 2012): 787–805. http://dx.doi.org/10.1016/j.nahs.2011.09.002.

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36

Pogonin, A. A., L. A. Rybak, A. V. Chichvarin, and Yu A. Shatokhin. "Mechatronic technological systems with superstability-based control." Journal of Computer and Systems Sciences International 47, no. 4 (August 2008): 642–54. http://dx.doi.org/10.1134/s1064230708040163.

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37

Freitag, James, and Andrey Minchenko. "Superstability and central extensions of algebraic groups." Advances in Applied Mathematics 72 (January 2016): 215–30. http://dx.doi.org/10.1016/j.aam.2015.09.002.

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38

Boney, Will, Rami Grossberg, Monica M. VanDieren, and Sebastien Vasey. "Superstability from categoricity in abstract elementary classes." Annals of Pure and Applied Logic 168, no. 7 (July 2017): 1383–95. http://dx.doi.org/10.1016/j.apal.2017.01.005.

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39

Mazari-Armida, Marcos. "Superstability, noetherian rings and pure-semisimple rings." Annals of Pure and Applied Logic 172, no. 3 (March 2021): 102917. http://dx.doi.org/10.1016/j.apal.2020.102917.

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40

Gordji, M. Eshaghi, A. Ebadian, N. Ghobadipour, J. M. Rassias, and M. B. Savadkouhi. "Approximately Ternary Homomorphisms and Derivations onC∗-Ternary Algebras." Abstract and Applied Analysis 2012 (2012): 1–10. http://dx.doi.org/10.1155/2012/984160.

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We investigate the stability and superstability of ternary homomorphisms betweenC*-ternary algebras and derivations onC*-ternary algebras, associated with the following functional equationf((x2-x1)/3)+f((x1-3x3)/3)+f((3x1+3x3-x2)/3)=f(x1).

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41

Kang, Sheon-Young, and Ick-Soon Chang. "Approximation of Generalized Left Derivations." Abstract and Applied Analysis 2008 (2008): 1–8. http://dx.doi.org/10.1155/2008/915292.

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We need to take account of the superstability for generalized left derivations (resp., generalized derivations) associated with a Jensen-type functional equation, and we also deal with problems for the Jacobson radical ranges of left derivations (resp., derivations).

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42

Chang, Ick-Soon. "Higher Ring Derivation and Intuitionistic Fuzzy Stability." Abstract and Applied Analysis 2012 (2012): 1–16. http://dx.doi.org/10.1155/2012/503671.

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We take account of the stability of higher ring derivation in intuitionistic fuzzy Banach algebra associated to the Jensen type functional equation. In addition, we deal with the superstability of higher ring derivation in intuitionistic fuzzy Banach algebra with unit.

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43

EBADIAN, ALI, ISMAIL NIKOUFAR, and MADJID ESHAGHI GORDJI. "NEARLY (θ1, θ2, θ3, ϕ)-DERIVATIONS ON HILBERT C*-MODULES." International Journal of Geometric Methods in Modern Physics 09, no. 03 (May 2012): 1250019. http://dx.doi.org/10.1142/s0219887812500193.

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In this paper, we introduce the notion of (θ1, θ2, θ3, ϕ)-derivations on Hilbert C*-modules. Moreover, we investigate the generalized Hyers–Ulam–Rassias stability, Isac–Rassias type stability and superstability of (θ1, θ2, θ3, ϕ)-derivations on Hilbert C*-modules.

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44

Elqorachi, Elhoucien, and Mohamed Akkouchi. "The Superstability of the Generalized D'alembert Functional Equation." gmj 10, no. 3 (September 2003): 503–8. http://dx.doi.org/10.1515/gmj.2003.503.

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Abstract We generalize the well-known Baker's superstability result for the d'Alembert functional equation with values in the field of complex numbers to the case of the integral equation where 𝐺 is a locally compact group, μ is a generalized Gelfand measure and σ is a continuous involution of 𝐺.

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45

Moszner, Zenon. "On the stability of the squares of some functional equations." Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica 14, no. 1 (December 1, 2015): 81–104. http://dx.doi.org/10.1515/aupcsm-2015-0007.

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Abstract We consider the stability, the superstability and the inverse stability of the functional equations with squares of Cauchy’s, of Jensen’s and of isometry equations and the stability in Ulam-Hyers sense of the alternation of functional equations and of the equation of isometry.

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46

GORDJI, M. ESHAGHI, A. FAZELI, and CHOONKIL PARK. "3-LIE MULTIPLIERS ON BANACH 3-LIE ALGEBRAS." International Journal of Geometric Methods in Modern Physics 09, no. 07 (September 7, 2012): 1250052. http://dx.doi.org/10.1142/s0219887812500521.

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In this paper, we study the space of 3-Lie multipliers on Banach 3-Lie algebras. Moreover, we investigate a characterization of 3-Lie multipliers on commutative and without order Banach 3-Lie algebras. Finally, we establish the stability and superstability of 3-Lie multipliers.

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47

Kitisin, Nataphan, and Preechaya Sanyatit. "Superstability of a multidimensional pexiderized cosine functional equation." ScienceAsia 47, no. 2 (2021): 251. http://dx.doi.org/10.2306/scienceasia1513-1874.2021.029.

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48

Frank, M., P. Găvruţa, and M. S. Moslehian. "Superstability of adjointable mappings on Hilbert c∗-modules." Applicable Analysis and Discrete Mathematics 3, no. 1 (2009): 39–45. http://dx.doi.org/10.2298/aadm0901039f.

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We define the notion of ?-perturbation of a densely defined adjointable mapping and prove that any such mapping f between Hilbert A-modules over a fixed C*-algebra A with densely defined corresponding mapping g is A-linear and adjointable in the classical sense with adjoint g. If both f and g are every- where defined then they are bounded. Our work concerns with the concept of Hyers-Ulam-Rassias stability originated from the Th. M. Rassias' stability theorem that appeared in his paper [On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc., 72 (1978), 297-300]. We also indicate complementary results in the case where the Hilbert C?-modules admit non-adjointable C*-linear mappings.

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49

Keltouma, Belfakih, Elqorachi Elhoucien, Themistocles M. Rassias, and Redouani Ahmed. "Superstability of Kannappan's and Van vleck's functional equations." Journal of Nonlinear Sciences and Applications 11, no. 07 (May 17, 2018): 894–915. http://dx.doi.org/10.22436/jnsa.011.07.03.

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50

Zeglami, D. "On the Superstability of Trigonometric Type Functional Equations." British Journal of Mathematics & Computer Science 4, no. 8 (January 10, 2014): 1146–55. http://dx.doi.org/10.9734/bjmcs/2014/7792.

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