Existence of solutions to first-order periodic boundary value problems

被引：32

作者：

Tisdell, Christopher C. ^{[1
]}

机构：

[1] Univ New S Wales, Sch Math, Sydney, NSW 2052, Australia

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2006年 / 323卷 / 02期

基金：

澳大利亚研究理事会;

关键词：

existence of solutions; boundary value problems; differential equations; fixed-point methods;

D O I：

10.1016/j.jmaa.2005.11.047

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article investigates the existence of solutions to boundary value problems (BVPs) involving systems of first-order ordinary differential equations and two-point, periodic boundary conditions. The methods involve novel differential inequalities and fixed-point theory to yield new theorems guaranteeing the existence of at least one solution. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：1325 / 1332

页数：8

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