References
- Agarwal , RP . 1992 . Difference Equations and Inequalities , New York : Marcel Dekker .
- Elaydi , SN . 1999 . “ An Introduction to Difference Equations ” . In Undergraduate Texts in Mathematics , New York : Springer-Verlag .
- Lakshmikantham , V and Trigiante , D . 1988 . Theory of Difference Equations: Numerical Methods and Applications , New York : Academic Press .
- Agarwal , RP , Perera , K and O'Regan , D . 2005 . Multiple positive solutions of singular discrete p-Laplacian problems via variational methods . Adv. Diff. Equ. , 2 : 93 – 99 .
- Cai , X and Yu , J . 2008 . Existence theorems of periodic solutions for second-order nonlinear difference equations . Adv. Difference Equ. , Article ID 247071
- Stehlík , P . 2008 . On variational methods for periodic discrete problems . J. Diff. Equ. Appl. , 14 ( 3 ) : 259 – 273 .
- Zhang , G . 2007 . Existence of non-zero solutions for a nonlinear system with a parameter . Nonlinear Anal. , 66 ( 6 ) : 1400 – 1416 .
- Yang , Y and Zhang , J . 2009 . Existence of solutions for some discrete boundary value problems with a parameter . Appl. Math. Comput. , 211 ( 2 ) : 293 – 302 .
- Zhang , G and Cheng , SS . 2006 . Existence of solutions for a nonlinear system with a parameter . J. Math. Anal. Appl. , 314 ( 1 ) : 311 – 319 .
- Agarwal , RP and O'Regan , D . 1998 . A fixed-point approach for nonlinear discrete boundary value problems . Comput. Math. Appl. , 36 ( 10–12 ) : 115 – 121 .
- Guo , Y , Wei , W and Chen , Y . 2009 . Existence of three positive solutions for m-point discrete boundary value problems with p-Laplacian . Discr. Dyn. Nat. Soc. , 2009 15 pages, Article ID 538431
- Stehlík , P and Tisdell , ChC . 2005 . On boundary value problems for second-order discrete inclusions . Bound. Value Probl. , 2005 ( 2 ) : 153 – 163 .
- Guseinov , GSh . 2009 . Existence of solutions to second-order nonlinear discrete elliptic equations . J. Diff. Equ. Appl. , 15 ( 5 ) : 501 – 510 .
- G. Sh. Guseinov, On solutions of discrete nonlinear elliptic boundary value problems, in Mathematical Methods in Engineering, K. Taş, J.A. Tenreiro Machado, and D. Baleanu, eds. (Selected papers of the international symposium, MME06, Ankara, Turkey, 27–29 April 2006). Springer, Dordrecht, 2006, pp. 189–196.
- Pao , CV and Cheng , SS . 2002 . Entire solutions of discrete elliptic equations . Southeast Asian Bull. Math. , 26 ( 2 ) : 0267 – 0278 .
- Bai , L and Zhang , G . 2009 . Nontrivial solutions for a nonlinear discrete elliptic equation with periodic boundary conditions . Appl. Math. Comput. , 210 ( 2 ) : 321 – 333 .
- Tang , H , Luoc , W , Lid , X and Ma , M . 2008 . Nontrivial solutions of discrete elliptic boundary value problems . Comput. Math. Appl. , 55 ( 8 ) : 1854 – 1860 .
- Zhang , G . 2006 . Existence of nontrivial solutions for discrete elliptic boundary value problems . Numer. Methods Partial Differ. Equ. , 22 ( 6 ) : 1479 – 1488 .
- Ji , J and Yang , B . 2008 . Eigenvalue comparisons for boundary value problems of the discrete elliptic equation . Commun. Appl. Anal. , 12 ( 2 ) : 189 – 197 .
- Yang , Y and Zhang , Z . 2008 . Existence results for a nonlinear system with a parameter . J. Math. Anal. Appl. , 340 ( 1 ) : 658 – 668 .
- Mawhin , J . 1987 . Problèmes de Dirichlet variationnels non linéaires , Les Presses de l'Université de Montréal .
- Willem , M . 1996 . Minimax Theorem , Boston : Birkhäuser .
- Deimling , K . 1985 . Nonlinear Functional Analysis , Berlin : Springer-Verlag .
- Fucik , S and Kufner , A . 1980 . “ Nonlinear Differential Equations ” . In Studies in Applied Mechanics , Vol. 2 , New York : Elsevier Scientific Publishing Company .