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2014 Applications of Schauder’s Fixed Point Theorem to Semipositone Singular Differential Equations
Zhongwei Cao, Chengjun Yuan, Xiuling Li
J. Appl. Math. 2014: 1-12 (2014). DOI: 10.1155/2014/575204

Abstract

We study the existence of positive periodic solutions of second-order singular differential equations. The proof relies on Schauder’s fixed point theorem. Our results generalized and extended those results contained in the studies by Chu and Torres (2007) and Torres (2007) . In some suitable weak singularities, the existence of periodic solutions may help.

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Zhongwei Cao. Chengjun Yuan. Xiuling Li. "Applications of Schauder’s Fixed Point Theorem to Semipositone Singular Differential Equations." J. Appl. Math. 2014 1 - 12, 2014. https://doi.org/10.1155/2014/575204

Information

Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07131703
MathSciNet: MR3253626
Digital Object Identifier: 10.1155/2014/575204

Rights: Copyright © 2014 Hindawi

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