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Advances in Inequalities and Applications ISSN 2050-7461

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Adv. Inequal. Appl. 2016 (2016), Article ID 18

Positive solutions for nonlinear second order differential equations with singularities

Shengjun Li, Wenya Xing, Wulan Li

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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.

Published
20 August 2016
Volume
2016 (2016)
License
CC BY 3.0

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.

Cite this article

S. Li, W. Xing, W. Li, Positive solutions for nonlinear second order differential equations with singularities, Adv. Inequal. Appl. 2016 (2016), 18.

BibTeX
@article{Li2016,
  author  = {Li, Shengjun and Xing, Wenya and Li, Wulan},
  title   = {Positive solutions for nonlinear second order differential equations with singularities},
  journal = {Adv. Inequal. Appl.},
  volume  = {2016},
  year    = {2016},
  pages   = {18},
  doi     = {}
}