Author:
Zhang Jianming,Wang Shuli,Liu Jinsheng,Cheng Yurong
Abstract
Abstract
In this paper, we study the existence of multiple periodic solutions for nonlinear second-order difference equations with resonance at origin. The approach is based on critical point theory, minimax methods, homological linking and Morse theory.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Algebra and Number Theory,Analysis
Reference23 articles.
1. Ma RY, Ma HL: Unbounded perturbations of nonlinear discrete periodic problem at resonance. Nonlinear Anal. 2009, 70: 2602-2613. 10.1016/j.na.2008.03.047
2. Guo ZM, Yu JS: The existence of periodic and subharmonic solutions for second-order superlinear difference equations. Sci. China Ser. A 2003, 33: 226-235. (in Chinese)
3. Agarwal RP, Perera K, O’Regan D: Multiple periodic solutions of singular and nonsingular discrete problems via variational methods. Nonlinear Anal. TMA 2004, 58: 69-73. 10.1016/j.na.2003.11.012
4. Agarwal RP, Perera K, O’Regan D: Multiple positive solutions of singular discrete p -Laplacian problems via variational methods. Adv. Differ. Equ. 2005, 2: 93-99.
5. Anderson DR, Rachu̇nková I, Tisdell CC: Solvability of discrete Neumann boundary value problems. J. Math. Anal. Appl. 2007, 331: 736-741. 10.1016/j.jmaa.2006.09.002
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