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Some remarks on nonlinear discrete boundary value problems

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Języki publikacji
EN
Abstrakty
EN
Using critical point theory and some monotonicity results we consider the existence and multiplicity of solutions to nonlinear discrete boundary value problems represented as a nonlinear system (…) with parameter (…) and with matrix A being not necessarily positive definite. We provide applications for discrete version of the Emden-Fowler equation.
Słowa kluczowe
Wydawca
Rocznik
Strony
575--583
Opis fizyczny
Bibliogr. 16 poz.
Twórcy
autor
autor
  • Marek Galewski Institute Of Mathematics Technical University Of Łódź Wólczańska 215 90-924 Łódź, Poland, marek.galewski@p.lodz.pl
Bibliografia
  • [1] R. P. Agarwal, D. O’Regan, A fixed-point approach for nonlinear discrete boundary value problems, Comput. Math. Appl. 36 (1998), 115–121.
  • [2] R. P. Agarwal, K. Perera, D. O’Regan, Multiple positive solutions of singular discrete p-Laplacian problems via variational methods, Adv. Difference Equ. 2 (2005), 93–99.
  • [3] X. Cai, J. Yu, Existence theorems of periodic solutions for second-order nonlinear difference equations, Adv. Difference Equ. 2008, Article ID 247071.
  • [4] S. Fucik, A. Kufner, Nonlinear differential equations, Studies in Applied Mechanics, 2, Amsterdam, Oxford, New York: Elsevier Scientific Publishing Company, 1980.
  • [5] M. Galewski, J. Smejda, On variational methods for nonlinear difference equations, J. Comput. Appl. Math. 233(11) (2010), 2985–2993.
  • [6] Z. Guo, J. Yu, On boundary value problems for a discrete generalized Emden–Fowler equation, J. Differential Equations 231(1) (2006), 18–31.
  • [7] Y. Guo, W. Wei, Y. Chen, Existence of three positive solutions for m-point discrete boundary value problems with p-Laplacian, Discrete Dyn. Nat. Soc. 2009, Article ID 538431.
  • [8] X. He, X. Wu, Existence and multiplicity of solutions for nonlinear second order difference boundary value problems, Comput. Math. Appl. 57 (2009), 1–8.
  • [9] F. Lian, Y. Xu, Multiple solutions for boundary value problems of a discrete generalized Emden–Fowler equation, Appl. Math. Lett. 23(2) (2010), 8–12.
  • [10] Y. Tian, Z. Du, W. Ge, Existence results for discrete Sturm–Liouville problem via variational methods, J. Difference Equ. Appl. 13(6) (2007), 467–478.
  • [11] M. Willem, Minimax Theorem, Birkhäuser, 1996.
  • [12] Y. Yang, Z. Zhang, Existence results for a nonlinear system with a parameter, J. Math. Anal. Appl. 340(1) (2008), 658–668.
  • [13] Y. Yang, J. Zhang, Existence and multiple solutions for a nonlinear system with a parameter, Nonlinear Anal. 70(7) (2009), 2542–2548.
  • [14] J. S. W. Wong, On the generalized Emden–Fowler equations, SIAM Review 17(2) (1975), 339–360.
  • [15] G. Zhang, S. S. Cheng, Existence of solutions for a nonlinear system with a parameter, J. Math. Anal. Appl. 314(1) (2006), 311–319.
  • [16] G. Zhang, Existence of non-zero solutions for a nonlinear system with a parametr, Nonlinear Anal. 66(6) (2007), 1400–1416.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-PWA4-0035-0007
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