PERIODIC SOLUTIONS OF SECOND ORDER LAGRANGIAN DIFFERENCE SYSTEMS WITH BOUNDED OR SINGULAR φ-LAPLACIAN AND PERIODIC POTENTIAL

被引：20

作者：

Mawhin, Jean ^{[1
]}

机构：

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

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2013年 / 6卷 / 04期

关键词：

Difference equations; variational methods; phi-laplacian; periodic solutions; curvature oscillator; relativistic oscillator; DISCRETE HAMILTONIAN-SYSTEMS; CRITICAL-POINT THEORY; SUBHARMONIC SOLUTIONS; RELATIVE CATEGORY; EQUATIONS; FUNCTIONALS; EXISTENCE;

D O I：

10.3934/dcdss.2013.6.1065

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 q(n-1)] = del qF[n, q(n)] + h(n) (n is an element of Z) where phi = del Phi, with Phi strictly convex, is a homeomorphism of R-N onto the ball B-a subset of R-N, or a homeomorphism of the ball B-a subset of R-N onto R-N, are considered when F (n, u) is periodic in the u(j). The approach is variational.

引用

页码：1065 / 1076

页数：12

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