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)).
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页码：1135 / 1152
页数：18
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