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.
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页码：1065 / 1076
页数：12
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