Existence and uniqueness of periodic solution to second-order impulsive differential equations

被引：3

作者：

Wen, Qian ^{[1
]}

Ren, Lulu ^{[2
]}

Liu, Rui ^{[1
]}

机构：

[1] Guizhou Univ, Dept Math, Guiyang 550025, Guizhou, Peoples R China

[2] Wuhan Text Univ, Sch Math & Phys Sci, Wuhan 430200, Hubei, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2023年 / 46卷 / 05期

关键词：

periodic solution; existence and uniqueness; second-order; impulsive systems; coincidence degree; DUFFING EQUATIONS;

D O I：

10.1002/mma.8899

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, existence and uniqueness of periodic solutions of second-order semilinear impulsive differential equations are obtained. Some sufficient conditions that guarantee the existence of periodic solutions to second-order linear nonhomogeneous impulsive differential equations are obtained. In addition, by using the appropriate fixed theorem and the theory of coincidence degree, some conditions ensuring the existence and uniqueness of periodic solution to second-order semilinear impulsive differential systems are derived. Finally, some examples are provided to illustrate the availability of our results.

引用

页码：6191 / 6209

页数：19

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