A Lazer-Leach-type condition for singular differential equations with a deviating argument at resonance

Advances in Difference Equations

Jin Li¹ 

[1] School of Science, Jiujiang University, Jiujiang, China

关键词: periodic solutions;    deviating argument;    singular;    at resonance;    Lazer-Leach-type condition;    34C25;    34D40;   

DOI  :  10.1186/s13662-017-1240-0

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we establish a Lazer-Leach-type condition depending on the delay for the existence of positive periodic solutions for singular differential equations with a deviating argument at resonance. The proof of the main result is based on the phase-plane analysis and topological degree methods.

【 授权许可】

CC BY