Almost periodic solutions of second-order systems with monotone fields on a compact subset

被引：6

作者：

Cieutat, P ^{[1
]}

机构：

[1] Univ Versailles, Lab Math Appl, F-78035 Versailles, France

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2003年 / 53卷 / 06期

关键词：

second-order differential equations; bounded solutions; almost periodic solutions;

D O I：

10.1016/S0362-546X(03)00026-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give sufficient conditions for the existence of almost periodic solutions of the second-order differential system: u" = F(t, u), when F is an element of C-0(R x K, R-N) with K is a compact convex subset of R-N, and the partial function F(t,.) is monotone for each t is an element of R. For existence, we do not assume that F(t,.) is strictly monotone. (C) 2003 Elsevier Science Ltd. All rights reserved.

引用

页码：751 / 763

页数：13

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