Positive periodic solutions of second-order differential equations with weak singularities

Ruyun Ma, Ruipeng Chen and Zhiqian He

Applied Mathematics and Computation, 2014, vol. 232, issue C, 97-103

Abstract: We establish the existence of positive periodic solutions of the second-order differential equationu″+a(t)u=f(t,u)+c(t)via Schauder’s fixed point theorem, where a∈L1(R/TZ;R+),c∈L1(R/TZ;R),f is a Carathéodory function and is singular at u=0. Our main results generalize some recent results by P.J. Torres.

Keywords: Positive periodic solutions; Schauder’s fixed point theorem; Weak singularities (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:232:y:2014:i:c:p:97-103

DOI: 10.1016/j.amc.2013.12.142

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