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
收藏
页码：1124 / 1132
页数：9
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