Positive periodic solutions for a second-order damped differential equation with an indefinite singularity

被引：0

作者：

Zhou, Xueliang ^{[1
,2
]}

Zhang, Qinghong ^{[1
]}

机构：

[1] Xinjiang Univ Finance & Econ, Sch Stat & Data Sci, Urumqi, Peoples R China

[2] Xinjiang Ind Vocat & Tech Coll, Dept Publ Educ, Urumqi, Peoples R China

来源：

ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2025年 / 16期

关键词：

Green's function; positive periodic solution; Leray-Schauder alternative principle; indefinite singularity; EXISTENCE; SYSTEMS;

D O I：

10.14232/ejqtde.2025.1.16

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the existence of at least one positive periodic solution for a second-order damped nonlinear differential equation with an indefinite singularity by assuming the corresponding linear equation have a positive Green's function. Our results are applicable to a weak singularity as well as a strong singularity. The proof is based on the Leray-Schauder alternative principle.

引用

页码：1 / 17

页数：17

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