Positive solutions for nonlinear second order differential equations with singularities

Shengjun Li, Wenya Xing, Wulan Li

Abstract


We study the existence positive periodic solutions to second order differential equations with singular nonlinear perturbations. It is proved that such a problem has at least one positive solutions under reasonable conditions. The proof of the main result relies on a nonlinear alternative principle of Leray-Schauder, together with a truncation technique.

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Published: 2016-08-20

How to Cite this Article:

Shengjun Li, Wenya Xing, Wulan Li, Positive solutions for nonlinear second order differential equations with singularities, Advances in Inequalities and Applications, Vol 2016 (2016), Article ID 18

Copyright © 2016 Shengjun Li, Wenya Xing, Wulan Li. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Advances in Inequalities and Applications

ISSN 2050-7461

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