Multiple periodic solutions for resonant difference equations

被引：3

作者：

Zhang, Jianming ^{[1
]}

Wang, Shuli ^{[1
]}

Liu, Jinsheng ^{[1
]}

Cheng, Yurong ^{[1
]}

机构：

[1] Taiyuan Univ Technol, Coll Math, Taiyuan 030024, Shanxi, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2014年

基金：

中国国家自然科学基金;

关键词：

difference equations; periodic solutions; homological linking; critical group; Morse theory; BOUNDARY-VALUE-PROBLEMS; POSITIVE SOLUTIONS; NONTRIVIAL SOLUTIONS; EXISTENCE;

D O I：

10.1186/1687-1847-2014-236

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页数：14

共 23 条

[1] Multiple positive solutions of singular discrete p-Laplacian problems via variational methods [J].

Agarwal, Ravi P. ;

Perera, Kanishka ;

O'Regan, Donal .

ADVANCES IN DIFFERENCE EQUATIONS, 2005, 2005 (02) :93-99

[2]

Agarwal RP, 2004, NONLINEAR ANAL-THEOR, V58, P69, DOI 10.1016/j.na.2004.11.012

[3] Solvability of discrete Neumann bo undary value problems [J].

Anderson, D. R. ;

Rachunkova, I. ;

Tisdell, C. C. .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 331 (01) :736-741

[4]

[Anonymous], 1998, ABSTR APPL ANAL

[5] Critical point theory for asymptotically quadratic functionals and applications to problems with resonance [J].

Bartsch, T ;

Li, SJ .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1997, 28 (03) :419-441

[6] Nonlinear difference equations investigated via critical point methods [J].

Bonanno, Gabriele ;

Candito, Pasquale .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (09) :3180-3186

[7] REMARKS ON FINDING CRITICAL-POINTS [J].

BREZIS, H ;

NIRENBERG, L .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1991, 44 (8-9) :939-963

[8] Multiple solutions for a discrete boundary value problem involving the p-Laplacian [J].

Candito, Pasquale ;

Giovannelli, Nicola .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2008, 56 (04) :959-964

[9]

Chang K.-c., 1993, Progress in Nonlinear Differential Equations and their Applications, V6

[10] APPLICATIONS OF LOCAL LINKING TO CRITICAL-POINT THEORY [J].

LI, SJ ;

WILLEM, M .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1995, 189 (01) :6-32

← 1 2 3 →