Existence of positive solutions of second-order periodic boundary value problems with sign-changing Green's function

被引：7

作者：

Gao, Cheng-hua ^{[1
]}

Zhang, Fei ^{[1
]}

Ma, Ru-yun ^{[1
]}

机构：

[1] Northwest Normal Univ, Dept Math, Lanzhou 730070, Peoples R China

来源：

ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES | 2017年 / 33卷 / 02期

基金：

中国国家自然科学基金; 中国博士后科学基金;

关键词：

periodic boundary value problem; existence; positive solutions; sign-changing Green's functions; DIFFERENTIAL-EQUATIONS; MULTIPLICITY; BIFURCATION;

D O I：

10.1007/s10255-017-0657-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the existence of positive solutions of second-order periodic boundary value problem u '' + (1/2 + epsilon)(2) u = lambda g(t)f(u), t is an element of [0, 2 pi], u(0) = u(2 pi), u'(0) = u'(2 pi), where 0 < epsilon < 1/2, g: [0, 2 pi] -> R is continuous, f : [0, infinity) -> R is continuous and lambda > 0 is a parameter.

引用

页码：263 / 268

页数：6

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