Existence of Single and Multiple Solutions for First Order Periodic Boundary Value Problems

被引：0
|
作者：
Xiao-ning Lin
Hong Wang
Da-qing Jiang
机构：
[1] Northeast Normal University,School of Business
[2] Qiqihar University,Department of Maths
[3] Northeast Normal University,Department of Mathematics
来源：
Acta Mathematicae Applicatae Sinica, English Series | 2007年 / 23卷
关键词：
Singular periodic boundary value problem; single and multiple; positive solution; fixed point theorem in cones; 34B15; 34B16; 34B18;
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学科分类号：
摘要：
This paper is devoted to the study of the existence of single and multiple positive solutions for the first order boundary value problem x′ = f(t, x), x(0) = x(T), where f ∈ C([0, T] × R) . In addition, we apply our existence theorems to a class of nonlinear periodic boundary value problems with a singularity at the origin. Our proofs are based on a fixed point theorem in cones. Our results improve some recent results in the literatures.
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页码：289 / 302
页数：13
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