一类非线性二阶常微分方程组正周期解的存在性

IF 1 4区数学 Q2 MATHEMATICS

Electronic Journal of Differential Equations Pub Date : 2022-12-15 DOI:10.58997/ejde.2022.83

Xiaoyan Han, Yu He, Huifang Wei

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引用次数: 1

摘要

本文研究一类二阶非线性常微分方程组的正周期解，其中一个方程中的非线性项是次线性的，另一个方程是超线性的。利用锥膨胀和压缩的不动点定理，我们得到了正周期解的存在性。

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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Existence of positive periodic solutions for a nonlinear system of second-order ordinary differential equations

This article concerns the positive periodic solutions for a system of second-order nonlinear ordinary differential equations, in which the nonlinear term is sublinear in one equation and superlinear in the other equation.By using the fixed point theorem of cone expansion and compression we obtain the existence of positive periodic solutions.

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来源期刊

Electronic Journal of Differential Equations MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.50

自引率

14.30%

发文量

审稿时长

3 months

期刊介绍： All topics on differential equations and their applications (ODEs, PDEs, integral equations, delay equations, functional differential equations, etc.) will be considered for publication in Electronic Journal of Differential Equations.