Homoclinic solutions for ordinary p-Laplacian systems with a coercive potential

被引：63

作者：

Tang, X. H. ^{[1
]}

Xiao, Li ^{[1
]}

机构：

[1] Cent S Univ, Sch Math Sci & Comp Technol, Changsha 410083, Hunan, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 71卷 / 3-4期

关键词：

Homoclinic solutions; p-Laplacian systems; Coercive potential; PERIODIC-SOLUTIONS; 2ND-ORDER SYSTEMS; ORBITS; EXISTENCE;

D O I：

10.1016/j.na.2008.11.027

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A result for the existence of homoclinic orbits is obtained for p-Laplacian systems d/dt (vertical bar(u) over dot(t)vertical bar(p-2)(u) over dot(t)) = del F(t, u(t)) + f(t), where p > 1, u is an element of R-n, F is an element of C-1(R x R-n, R) is T-periodic with respect to t and f : R -> R-n is a continuous and bounded function such that F(t, x ) >= F(t, 0) + b vertical bar x vertical bar(mu) and integral(R) vertical bar f(t)vertical bar(mu/(mu-1)) dt < infinity for some b > 0 and mu > 1. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：1124 / 1132

页数：9

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