Electron. J. Differential Equations, Vol. 2022 (2022), No. 83, pp. 1-11.

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

Xiao Han, Yujing He, Hui Wei

Abstract:
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.

Submitted August 11, 2022. Published December 15, 2022.
Math Subject Classifications: 34C25, 47H10.
Key Words: Existence ofsolutions; positive periodic solutions; fixed point theorem.

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Xiao Han
School of Mathematics
Jilin University
Changchun 130012, China
email: hanx@jlu.edu.cn
Yujing He
School of Mathematics
Jilin University
Changchun 130012, China
email: 1073669517@qq.com
Hui Wei
Department of Mathematics
Luoyang Normal University
Luoyang 471934, China
email: weihui01@163.com

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