Existence and multiplicity of periodic solutions for the ordinary p-Laplacian systems

被引：3
作者：
Liao K. [1 ]
Tang C.-L. [1 ]
机构：
[1] School of Mathematics and Statistics, Southwest University
来源：
Journal of Applied Mathematics and Computing | 2011年 / 35卷 / 1-2期
基金：
中国国家自然科学基金;
关键词：
P-Laplacian systems; Periodic solutions; Saddle Point Theorem; Three-critical-point Theorem;
D O I：
10.1007/s12190-009-0364-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Some existence and multiplicity results are obtained for periodic solutions of the ordinary p-Laplacian systems: {(|u'(t)|p-2}u'(t))'=δ F(t,u(t)), a.e. t [0,T], u(0)-u(T)=u'(0)-u'(T)=0 by using the Saddle Point Theorem, the least action principle and the Three-critical-point Theorem. © 2009 Korean Society for Computational and Applied Mathematics.
引用
收藏
页码：395 / 406
页数：11
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