Identyfikatory
Warianty tytułu
Języki publikacji
Abstrakty
Using variational methods we investigate the existence of solutions and their dependence on parameters for certain fourth order difference equations.
Czasopismo
Rocznik
Tom
Strony
115--123
Opis fizyczny
Bibliogr. 10 poz.
Twórcy
autor
autor
- Technical University of Lodz Institute of Mathematics Wolczanska 215, 90-924 Lodz, Poland, marek.galewski@p.lodz.pl
Bibliografia
- [1] J. Mawhin, Problèmes de Dirichlet Variationnels Non Linéaires, Les Presses de l’Université de Montréal, 1987.
- [2] R. Ma, J. Li, C. Gao, Existence of positive solutions of a discrete elastic beam equation, Discrete Dyn. Nat. Soc. 2010, Art. ID 582919, 15 pp.
- [3] M. Galewski, Dependence on parameters for discrete second order boundary value problems, arXiv:0912.5224v1, to appear in J. Difference Equ. Appl.
- [4] I. Rachùnková, L. Rachùnek, Solvability of discrete Dirichlet problem via lower and upper functions method, J. Difference Equ. Appl. 13 (2007) 5, 423–429.
- [5] S. Huang, Z. Zhou, On the nonexistence and existence of solutions for a fourth-order discrete boundary value problem, Adv. Difference Equ. 2009, Art. ID 389624, 18 pp.
- [6] T. He, Y. Su, On discrete fourth-order boundary value problems with three parameters, J. Comput. Appl. Math. 233 (2010) 10, 2506–2520.
- [7] C. Yuan, D. Jiang, D. O’Regan, Existence and uniqueness of positive solutions for fourth-order nonlinear singular continuous and discrete boundary value problems, Appl. Math. Comput. 203 (2008) 1, 194–201.
- [8] F.J.S.A. Corrca, On multiple positive solutions of positone and non-positone problems, Abstr. Appl. Anal. 4 (1999) 2, 101–108.
- [9] X. Cai, Z. Guo, Existence of solutions of nonlinear fourth order discrete boundary value problem, J. Difference Equ. Appl. 12 (2006) 5, 459–466.
- [10] R. Ma, C. Gao, Y. Chang, Existence of solutions of a discrete fourth-order boundary value problem, Discrete Dyn. Nat. Soc. 2010, Article ID 839474, 19 pp.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-AGHT-0007-0009