Existence of positive periodic solutions of second-order differential equations with weak singularities

被引：0

作者：

Ma, You ^{[1
]}

机构：

[1] Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2014年

关键词：

periodic solution; weak singularity; Schauder's fixed point theorem; indefinite weight;

D O I：

10.1186/s13661-014-0188-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish the existence of positive periodic solutions of the second-order differential equation x '' + a(t) x = f (t, x) + c(t) via Schauder's fixed point theorem, where a is an element of L-1(R/TZ; R+), c is an element of L-1(R/TZ; R), f is a Caratheodory function and it is singular at x = 0. Our main results generalize some recent results by Torres (J. Differ. Equ. 232: 277-284, 2007).

引用

页码：1 / 8

页数：8

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