Periodic solutions of second order nonlinear difference systems with φ-Laplacian: A variational approach

被引：60

作者：

Mawhin, Jean ^{[1
]}

机构：

[1] Catholic Univ Louvain, Inst Rech Math & Phys, B-1348 Louvain, Belgium

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2012年 / 75卷 / 12期

关键词：

Difference equations; Periodic solutions; Variational method; Variational inequalities; phi-laplacian; Curvature operator; Relativistic acceleration; DISCRETE HAMILTONIAN SYSTEM; SUBHARMONIC SOLUTIONS; EQUATIONS; EXISTENCE;

D O I：

10.1016/j.na.2011.11.018

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

T-periodic solutions of systems of difference equations of the form Delta phi[Delta u(n - 1)] = del F-u[n, u(n)] + h(n) (n is an element of Z) where phi = del Phi, Phi strictly convex, is a homeomorphism of R-N onto the ball B-a subset of R-N, or of B-a onto R-N, are considered under various conditions upon F and h. The approach is variational. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：4672 / 4687

页数：16

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