Periodic Solutions of a Second Order Discontinuous Nonautonomous Differential Equation

IF 1.9 3区数学 Q1 MATHEMATICS Qualitative Theory of Dynamical Systems Pub Date : 2024-06-25 DOI:10.1007/s12346-024-01088-8

Fangfang Jiang, Yujuan Chen, Jitao Sun

引用次数: 0

Abstract

In this paper, we are concerned with a problem of periodic solution for a second order nonautonomous differential equation with a discontinuity line. Under two types of assumptions, we analyze the geometric properties of solutions respectively. Then by using a fixed point theorem, we obtain several existence criteria of periodic solutions, where the periodic solutions are crossing harmonic and subharmonic solutions.

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二阶非自治非连续微分方程的周期解

本文关注的是一个带间断线的二阶非自治微分方程的周期解问题。在两种假设条件下，我们分别分析了解的几何性质。然后利用定点定理，我们得到了周期解的几个存在性判据，其中周期解是交叉谐波解和次谐波解。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Qualitative Theory of Dynamical Systems MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.50

自引率

14.30%

发文量

130

期刊介绍： Qualitative Theory of Dynamical Systems (QTDS) publishes high-quality peer-reviewed research articles on the theory and applications of discrete and continuous dynamical systems. The journal addresses mathematicians as well as engineers, physicists, and other scientists who use dynamical systems as valuable research tools. The journal is not interested in numerical results, except if these illustrate theoretical results previously proved.

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