Periodic solutions for a second-order differential equation with indefinite weak singularity

被引：7

作者：

Godoy, Jose ^{[1
]}

Zamora, Manuel ^{[1
]}

机构：

[1] Univ Bio Bio, GISDA, Dept Matemat, Casilla 5-C, Concepcion, Chile

来源：

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 2019年 / 149卷 / 05期

关键词：

Singular differential equations; weak-indefinite singularity; periodic solutions; degree theory; Leray-Schauder continuation theorem;

D O I：

10.1017/prm.2018.79

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

As a consequence of the main result of this paper efficient conditions guaranteeing the existence of a T -periodic solution to the second-order differential equation{ u} = {{h((t))}/U-lambda are established. Here, h is an element of L(Double-struck capital R/TDOUBLE-STRUCK CAPITAL Z) is a piecewise-constant sign-changing function and the non-linear term presents a weak singularity at 0 (i.e. lambda is an element of (0, 1)).

引用

页码：1135 / 1152

页数：18

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