Positive periodic solution to a second-order differential equation with attractive-repulsive singularities

Zhibo Cheng; Lulu Gu

doi:10.1216/rmj.2022.52.77

Abstract

We prove the existence of a positive periodic solution for a nonlinear differential equation with attractive-repulsive singularities by using a Green’s function and a fixed point theorem in cones.

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Zhibo Cheng. Lulu Gu. "Positive periodic solution to a second-order differential equation with attractive-repulsive singularities." Rocky Mountain J. Math. 52 (1) 77 - 85, February 2022. https://doi.org/10.1216/rmj.2022.52.77

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Received: 29 January 2021; Revised: 6 June 2021; Accepted: 18 June 2021; Published: February 2022

First available in Project Euclid: 19 April 2022

MathSciNet: MR4409918

zbMATH: 1507.34027

Digital Object Identifier: 10.1216/rmj.2022.52.77

Subjects:

Primary: 34B16 , 34B18 , 34C25

Keywords: attractive-repulsive singularities , fixed point theorem in cones , positive periodic solution

Abstract

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