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Journal articles on the topic 'Integrability'

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

Author: Grafiati

Published: 4 June 2021

Last updated: 7 July 2024

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1

Jarník, Jiří, and Jaroslav Kurzweil. "Pfeffer integrability does not imply $M_1$-integrability." Czechoslovak Mathematical Journal 44, no. 1 (1994): 47–56. http://dx.doi.org/10.21136/cmj.1994.128454.

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2

Schurle, Arlo W. "Perron Integrability Versus Lebesgue Integrability." Canadian Mathematical Bulletin 28, no. 4 (December 1, 1985): 463–68. http://dx.doi.org/10.4153/cmb-1985-055-1.

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AbstractThe paper investigates the relationship between Perron - Stieltjes integrability and Lebesgue-Stieltjes integrability within the generalized Riemann approach. The main result states that with certain restrictions a Perron-Stieltjes integrable function is locally Lebesgue-Stieltjes integrable on an open dense set. This is then applied to show that a nonnegative Perron-Stieltjes integrable function is Lebesgue-Stieltjes integrable. Finally, measure theory is invoked to remove the restrictions in the main result.

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3

Mussardo, G. "Integrability, non-integrability and confinement." Journal of Statistical Mechanics: Theory and Experiment 2011, no. 01 (January 6, 2011): P01002. http://dx.doi.org/10.1088/1742-5468/2011/01/p01002.

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4

Kozak, A. V. "Integrability in AdS/CFT." Ukrainian Journal of Physics 58, no. 11 (November 2013): 1108–12. http://dx.doi.org/10.15407/ujpe58.11.1108.

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5

KUŚ, MAREK. "Integrability and non-integrability in quantum mechanics." Journal of Modern Optics 49, no. 12 (October 2002): 1979–85. http://dx.doi.org/10.1080/09500340210140759.

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6

Khesin, Boris, and Fedor Soloviev. "Non-integrability vs. integrability in pentagram maps." Journal of Geometry and Physics 87 (January 2015): 275–85. http://dx.doi.org/10.1016/j.geomphys.2014.07.027.

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7

M. Saadoune and R. Sayyad. "From Scalar McShane Integrability to Pettis Integrability." Real Analysis Exchange 38, no. 2 (2013): 445. http://dx.doi.org/10.14321/realanalexch.38.2.0445.

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8

Ünsal, Ömer, and Filiz Taşcan. "Soliton Solutions, Bäcklund Transformation and Lax Pair for Coupled Burgers System via Bell Polynomials." Zeitschrift für Naturforschung A 70, no. 5 (May 1, 2015): 359–63. http://dx.doi.org/10.1515/zna-2015-0076.

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AbstractIn this work, we apply the binary Bell polynomial approach to coupled Burgers system. In other words, we investigate possible integrability of referred system. Bilinear form and soliton solutions are obtained, some figures related to these solutions are given. We also get Bäcklund transformations in both binary Bell polynomial form and bilinear form. Based on the Bäcklund transformation, Lax pair is obtained. Namely, this is a study in which integrabilitiy of coupled burgers system is investigated.

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9

Stefansson, Gunnar F. "Pettis Integrability." Transactions of the American Mathematical Society 330, no. 1 (March 1992): 401. http://dx.doi.org/10.2307/2154171.

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10

GAETA, GIUSEPPE. "QUATERNIONIC INTEGRABILITY." Journal of Nonlinear Mathematical Physics 18, no. 3 (January 2011): 461–74. http://dx.doi.org/10.1142/s1402925111001714.

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11

Stefánsson, Gunnar F. "Pettis integrability." Transactions of the American Mathematical Society 330, no. 1 (January 1, 1992): 401–18. http://dx.doi.org/10.1090/s0002-9947-1992-1070352-0.

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12

TAMIZHMANI, K. M. "Integrability detectors." Pramana 85, no. 5 (October 29, 2015): 823–47. http://dx.doi.org/10.1007/s12043-015-1105-6.

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13

Kruskal, M. D. "Analytic integrability." Physica D: Nonlinear Phenomena 28, no. 1-2 (September 1987): 227. http://dx.doi.org/10.1016/0167-2789(87)90153-9.

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14

Torrielli, Alessandro. "Classical integrability." Journal of Physics A: Mathematical and Theoretical 49, no. 32 (July 21, 2016): 323001. http://dx.doi.org/10.1088/1751-8113/49/32/323001.

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15

Nepomechie, Rafael I. "Boundary integrability." Journal of Physics A: Mathematical and Theoretical 49, no. 42 (September 26, 2016): 421004. http://dx.doi.org/10.1088/1751-8113/49/42/421004.

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16

Halburd, R. G. "Diophantine integrability." Journal of Physics A: Mathematical and General 38, no. 16 (April 6, 2005): L263—L269. http://dx.doi.org/10.1088/0305-4470/38/16/l01.

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17

Verhulst, Ferdinand. "Integrability and Non-integrability of Hamiltonian Normal Forms." Acta Applicandae Mathematicae 137, no. 1 (December 11, 2014): 253–72. http://dx.doi.org/10.1007/s10440-014-9998-5.

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18

Jovanovic, Bozidar. "Symmetries and integrability." Publications de l'Institut Math?matique (Belgrade) 84, no. 98 (2008): 1–36. http://dx.doi.org/10.2298/pim0898001j.

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This is a survey on finite-dimensional integrable dynamical systems related to Hamiltonian G-actions. Within a framework of noncommutative integrability we study integrability of G-invariant systems, collective motions and reduced integrability. We also consider reductions of the Hamiltonian flows restricted to their invariant submanifolds generalizing classical Hess-Appel'rot case of a heavy rigid body motion.

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19

Luzzatto, Stefano, Sina Tureli, and Khadim War. "Integrability of continuous bundles." Journal für die reine und angewandte Mathematik (Crelles Journal) 2019, no. 752 (July 1, 2019): 229–64. http://dx.doi.org/10.1515/crelle-2016-0049.

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Abstract We give new sufficient conditions for the integrability and unique integrability of continuous tangent subbundles on manifolds of arbitrary dimension, generalizing Frobenius’ classical theorem for {C^{1}} subbundles. Using these conditions, we derive new criteria for uniqueness of solutions to ODEs and PDEs and for the integrability of invariant bundles in dynamical systems. In particular, we give a novel proof of the Stable Manifold Theorem and prove some integrability results for dynamically defined dominated splittings.

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20

FIORANI, EMANUELE. "GEOMETRICAL ASPECTS OF INTEGRABLE SYSTEMS." International Journal of Geometric Methods in Modern Physics 05, no. 03 (May 2008): 457–71. http://dx.doi.org/10.1142/s0219887808002886.

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We review some basic theorems on integrability of Hamiltonian systems, namely the Liouville–Arnold theorem on complete integrability, the Nekhoroshev theorem on partial integrability and the Mishchenko–Fomenko theorem on noncommutative integrability, and for each of them we give a version suitable for the noncompact case. We give a possible global version of the previous local results, under certain topological hypotheses on the base space. It turns out that locally affine structures arise naturally in this setting.

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21

Gao, Hongya, Yanjie Zhang, and Shuangli Li. "Integrability for Solutions of Anisotropic Obstacle Problems." International Journal of Mathematics and Mathematical Sciences 2012 (2012): 1–6. http://dx.doi.org/10.1155/2012/549285.

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This paper deals with anisotropic obstacle problem for the𝒜-harmonic equation∑i=1nDi(ai(x,Du(x)))=0. An integrability result is given under suitable assumptions, which show higher integrability of the boundary datum, and the obstacle force solutionsuhave higher integrability as well.

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22

Kai, Tatsuya. "Theoretical Analysis for a Class of Rheonomous Affine Constraints on Configuration Manifolds—Part I: Fundamental Properties and Integrability/Nonintegrability Conditions." Mathematical Problems in Engineering 2012 (2012): 1–32. http://dx.doi.org/10.1155/2012/543098.

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We analyze a class of rheonomous affine constraints defined on configuration manifolds from the viewpoint of integrability/nonintegrability. First, we give the definition ofA-rheonomous affine constraints and introduce, geometric representation their. Some fundamental properties of theA-rheonomous affine constrains are also derived. We next define the rheonomous bracket and derive some necessary and sufficient conditions on the respective three cases: complete integrability, partial integrability, and complete nonintegrability for theA-rheonomous affine constrains. Then, we apply the integrability/nonintegrability conditions to some physical examples in order to confirm the effectiveness of our new results.

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23

Algaba, Antonio, Cristóbal García, and Jaume Giné. "On the Formal Integrability Problem for Planar Differential Systems." Abstract and Applied Analysis 2013 (2013): 1–10. http://dx.doi.org/10.1155/2013/482305.

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We study the analytic integrability problem through the formal integrability problem and we show its connection, in some cases, with the existence of invariant analytic (sometimes algebraic) curves. From the results obtained, we consider some families of analytic differential systems inℂ2, and imposing the formal integrability we find resonant centers obviating the computation of some necessary conditions.

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24

HANDS, D. WADE. "WHAT A DIFFERENCE A SUM (∑) MAKES: SUCCESS AND FAILURE IN THE RATIONALIZATION OF DEMAND." Journal of the History of Economic Thought 34, no. 3 (August 13, 2012): 379–96. http://dx.doi.org/10.1017/s1053837212000387.

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This paper discusses the Sonnenschein–Mantel–Debreu (SMD) theorems in general equilibrium theory. It argues that the SMD results were related to the previous literature on the integrability of demand. The integrability question involved rationalizing individual demand functions, and the SMD theorems asked the same question about aggregate (market) excess demand functions. The paper’s two goals are to demonstrate how the SMD results followed naturally from the earlier work on integrability, and to point out that the profession’s reception was quite different; the integrability results were considered a success story, while the SMD results were quite negative.

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25

Li, Bo, and Na Ma. "Integrability Formulas. Part III." Formalized Mathematics 18, no. 2 (January 1, 2010): 143–57. http://dx.doi.org/10.2478/v10037-010-0017-7.

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26

Krippendorf, Sven, Dieter Lüst, and Marc Syvaeri. "Integrability Ex Machina." Fortschritte der Physik 69, no. 7 (May 20, 2021): 2100057. http://dx.doi.org/10.1002/prop.202100057.

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27

Tanović-Miller. "NEW INTEGRABILITY CLASSES." Real Analysis Exchange 19, no. 1 (1993): 24. http://dx.doi.org/10.2307/44153792.

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28

Khesin, B., and S. Tabachnikov. "Contact complete integrability." Regular and Chaotic Dynamics 15, no. 4-5 (August 6, 2010): 504–20. http://dx.doi.org/10.1134/s1560354710040076.

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29

Van Der Kamp, Peter H., and Jan A. Sanders. "On Testing Integrability." Journal of Nonlinear Mathematical Physics 8, no. 4 (January 2001): 561–74. http://dx.doi.org/10.2991/jnmp.2001.8.4.8.

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30

Kamp, Peter H. van der. "On proving integrability." Inverse Problems 18, no. 2 (March 7, 2002): 405–14. http://dx.doi.org/10.1088/0266-5611/18/2/307.

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31

Eden, Burkhard, and Matthias Staudacher. "Integrability and transcendentality." Journal of Statistical Mechanics: Theory and Experiment 2006, no. 11 (November 24, 2006): P11014. http://dx.doi.org/10.1088/1742-5468/2006/11/p11014.

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32

Luzzatto, Stefano, Sina Türeli, and Khadim Mbacke War. "Integrability ofC1invariant splittings." Dynamical Systems 31, no. 1 (July 9, 2015): 79–88. http://dx.doi.org/10.1080/14689367.2015.1057480.

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33

Hietarinta, Jarmo. "Pure quantum integrability." Physics Letters A 246, no. 1-2 (September 1998): 97–104. http://dx.doi.org/10.1016/s0375-9601(98)00535-0.

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34

Evans, Jonathan M., and Jens Ole Madsen. "Integrability versus supersymmetry." Physics Letters B 389, no. 4 (December 1996): 665–72. http://dx.doi.org/10.1016/s0370-2693(96)80007-4.

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35

Murthy, Narayan S., Charles F. Osgood, and Oved Shisha. "On dominant integrability." Journal of Approximation Theory 51, no. 1 (September 1987): 89–92. http://dx.doi.org/10.1016/0021-9045(87)90098-0.

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36

Stolovitch, Laurent. "Singular complete integrability." Publications mathématiques de l'IHÉS 91, no. 1 (December 2000): 133–210. http://dx.doi.org/10.1007/bf02698742.

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37

Fokas, A. S. "Integrability and beyond." Journal of Mathematical Sciences 94, no. 4 (April 1999): 1593–99. http://dx.doi.org/10.1007/bf02365206.

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38

Franciosi, Michelangelo, and Gioconda Moscariello. "Higher integrability results." Manuscripta Mathematica 52, no. 1-3 (February 1985): 151–70. http://dx.doi.org/10.1007/bf01171490.

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39

Wojtkowski, Maciej P. "Integrability via reversibility." Journal of Geometry and Physics 115 (May 2017): 61–74. http://dx.doi.org/10.1016/j.geomphys.2016.07.015.

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40

Pucacco, Giuseppe, and Kjell Rosquist. "Energy dependent integrability." Journal of Geometry and Physics 115 (May 2017): 16–27. http://dx.doi.org/10.1016/j.geomphys.2016.10.001.

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41

Gutkin, E. "Integrability without formulas." Physica D: Nonlinear Phenomena 28, no. 1-2 (September 1987): 243. http://dx.doi.org/10.1016/0167-2789(87)90193-x.

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42

Boos, H., F. Göhmann, A. Klümper, Kh S. Nirov, and A. V. Razumov. "Universal integrability objects." Theoretical and Mathematical Physics 174, no. 1 (January 2013): 21–39. http://dx.doi.org/10.1007/s11232-013-0002-8.

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43

Basse-O'Connor, Andreas. "Integrability of Seminorms." Electronic Journal of Probability 16 (2011): 216–29. http://dx.doi.org/10.1214/ejp.v16-853.

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44

Andrews, Kevin T. "Universal Pettis Integrability." Canadian Journal of Mathematics 37, no. 1 (February 1, 1985): 141–59. http://dx.doi.org/10.4153/cjm-1985-011-5.

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Since the invention of the Pettis integral over forty years ago [11], the problem of recognizing the Pettis integrability of a function against an individual measure has been much studied [5, 6, 7, 8, 9, 20]. More recently, Riddle-Saab-Uhl [14] and Riddle-Saab [13] have considered the problem of when a function is integrable against every Radon measure on a fixed compact Hausdorff space. These papers give various sufficient conditions on a function that ensure this universal Pettis integrability. In this paper, we see how far these various conditions go toward characterizing universal Pettis integrability. We base our work on a w*-analogue of the core of a vector-valued function [8].We also give some sufficient conditions that ensure that a Banach space has the so-called universal Pettis integral property (UPIP) and consider some particular examples of spaces with this property. It is interesting that in these examples some of the special set theoretic axioms that play an important role in the study of the stronger Pettis integral property [6, 7] make an appearance.

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45

Fernandes, Rui Loja, and Daan Michiels. "Associativity and integrability." Transactions of the American Mathematical Society 373, no. 7 (April 28, 2020): 5057–110. http://dx.doi.org/10.1090/tran/8073.

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46

Clarke, David G., and S. P. Strong. "Integrability and Coherence." Physical Review Letters 78, no. 3 (January 20, 1997): 563. http://dx.doi.org/10.1103/physrevlett.78.563.

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47

Ferrando, J. C. "On Pettis Integrability." Czechoslovak Mathematical Journal 53, no. 4 (December 2003): 1009–15. http://dx.doi.org/10.1023/b:cmaj.0000024537.49856.43.

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48

McCauley, Joseph L. "Integrability and attractors." Chaos, Solitons & Fractals 4, no. 11 (November 1994): 1969–84. http://dx.doi.org/10.1016/0960-0779(94)90116-3.

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49

Nocke, Volker, and Nicolas Schutz. "Quasi-linear integrability." Journal of Economic Theory 169 (May 2017): 603–28. http://dx.doi.org/10.1016/j.jet.2017.03.006.

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50

Witten, Edward. "Searching for integrability." Journal of Geometry and Physics 8, no. 1-4 (March 1992): 327–34. http://dx.doi.org/10.1016/0393-0440(92)90055-6.

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