Existence of periodic solutions for a class of p-Laplacian equations

被引：6

作者：

Chang, Xiaojun ^{[1
,2
]}

Qiao, Yu ^{[3
]}

机构：

[1] NE Normal Univ, Sch Math & Stat, Changchun 130024, Jilin, Peoples R China

[2] Jilin Univ, Coll Math, Changchun 130012, Jilin, Peoples R China

[3] Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710062, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2013年

基金：

中国国家自然科学基金;

关键词：

periodic solutions; p-Laplacian; Fucik spectrum; Leray-Schauder degree; Borsuk theorem; BOUNDARY-VALUE PROBLEM; NONRESONANCE CONDITIONS; FUCIK SPECTRUM; OPERATORS; SYSTEMS;

D O I：

10.1186/1687-2770-2013-96

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is devoted to the existence of periodic solutions for the one-dimensional p-Laplacian equation -(phi(p)(u'))' = f(t,u), where phi(p)(u) = vertical bar u|(p-2)u (1 < p < + infinity), f is an element of C([0, 2 pi] x R,R). By using some asymptotic interaction of the ratios f(t,u)/vertical bar u vertical bar(p-2)u and p integral(u)(0) f(t,s)ds/vertical bar u vertical bar(p) with the Fucik spectrum of -(phi(p)(u'))' related to periodic boundary condition, we establish a new existence theorem of periodic solutions for the one-dimensional p-Laplacian equation.

引用

页数：11

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