PERIODIC SOLUTIONS AND BIFURCATIONS OF FIRST-ORDER PERIODIC IMPULSIVE DIFFERENTIAL EQUATIONS

Author:

HU ZHAOPING1,HAN MAOAN1

Affiliation:

1. Department of Mathematics, Shanghai University, Shanghai 200444, P. R. China

Abstract

In this paper, we use the method of displacement functions to study the existence, stability and bifurcation of periodic solutions of scalar periodic impulsive differential equations. We obtain some new and interesting results on saddle-node bifurcation and double-period bifurcation of periodic solution.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Cited by 10 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. NONLINEAR TWO-POINT BOUNDARY VALUE PROBLEM FOR A SECOND ORDER IMPULSIVE SYSTEM OF INTEGRO-DIFFERENTIAL EQUATIONS WITH MIXED MAXIMA;Вестник Ошского государственного университета. Математика. Физика. Техника;2023-12-30

2. Periodic Solutions of Second Order Impulsive System for an Integro-Differential Equations with Maxima;Lobachevskii Journal of Mathematics;2022-12

3. Periodic solutions for an impulsive system of integro-differential equations with maxima;Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences;2022-06-30

4. Periodic solutions for an impulsive system of nonlinear differential equations with maxima;Nanosystems: Physics, Chemistry, Mathematics;2022-04-29

5. EXISTENCE AND UNIQUENESS OF DISCONTINUOUS PERIODIC ORBITS IN SECOND ORDER DIFFERENTIAL EQUATIONS WITH STATE-DEPENDENT IMPULSES;Journal of Applied Analysis & Computation;2022

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