Positive solutions for nonlinear singular second order Neumann boundary value problems
Abstract
In this paper, we study the existence of positive solutions to second order nonlinear differential equations with Neumann boundary conditions, our nonlinearity f(t,u) may be singular at u=0 and our proof relies on a nonlinear alternative of Leray-Schauder type, together with a truncation technique. Some example will be given.
Copyright © 2012 Shengjun Li, Zonghu Xiu, Li Liang. 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. L. Z. X. Li Liang, Positive solutions for nonlinear singular second order Neumann boundary value problems, J. Math. Comput. Sci. 2 (2012), 1353–1362.
BibTeX
@article{Liang2012,
author = {Li Liang, Shengjun Li, Zonghu Xiu,},
title = {Positive solutions for nonlinear singular second order Neumann boundary value problems},
journal = {J. Math. Comput. Sci.},
volume = {2},
year = {2012},
pages = {1353--1362},
doi = {}
}