Nonautonomous impulsive differential equations of alternately advanced and retarded type

被引：7

作者：

Chiu, Kuo-Shou ^{[1
]}

Sepulveda, Isabel Berna ^{[1
]}

机构：

[1] Univ Metropolitana Ciencias Educ, Fac Ciencias Basicas, Dept Matemat, Santiago, Chile

来源：

FILOMAT | 2023年 / 37卷 / 23期

关键词：

Impulsive differential equation; alternately advanced and retarded argument; variation of parameters formula; Gron-wall integral inequality; oscillation; stability; PIECEWISE-CONSTANT ARGUMENT; PERIODIC-SOLUTIONS; MODEL;

D O I：

10.2298/FIL2323813C

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A variation of parameters formula and Gronwall type integral inequality are proved for an impulsive differential equation involving piecewise alternately advanced and retarded argument. At the same time, we study its oscillation and asymptotic stability properties. Our results are new, extend and improve earlier ones. Several numerical examples and simulations are also given to show the feasibility of our results.

引用

页码：7813 / 7829

页数：17

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