Rocky Mountain Journal of Mathematics

Periodic solution for second order damped differential equations with attractive-repulsive singularities

Zhibo Cheng and Jingli Ren

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In this paper, we investigate a kind of second-order nonlinear differential equation with attractive-repulsive singularities. By applications of Green's function and Schauder's fixed point theorem, we establish the existence of a positive periodic solution for this equation.

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Rocky Mountain J. Math., Volume 48, Number 3 (2018), 753-768.

First available in Project Euclid: 2 August 2018

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Zentralblatt MATH identifier

Primary: 34B16: Singular nonlinear boundary value problems 34B18: Positive solutions of nonlinear boundary value problems 34C25: Periodic solutions

Second order differential equation positive periodic solution attractive-repulsive singularities Schauder's fixed point theorem


Cheng, Zhibo; Ren, Jingli. Periodic solution for second order damped differential equations with attractive-repulsive singularities. Rocky Mountain J. Math. 48 (2018), no. 3, 753--768. doi:10.1216/RMJ-2018-48-3-753.

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