Nonegative solutions in boundary value problems.
Abstract
We study the solutions to the two point boundary value problem:
-u"(x)=λf(u(x)); x belongs to (-1,1),
u(-1)=u(1)=0,
where λ>0 and real function f is smooth and convex. We obtain the exact number of positive solutions.
Copyright © 2012 Mahmood Jaafari Matehkolaee. 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
M. Jaafari Matehkolaee, Nonegative solutions in boundary value problems., J. Math. Comput. Sci. 2 (2012), 684–689.
BibTeX
@article{Matehkolaee2012,
author = {Jaafari Matehkolaee, Mahmood},
title = {Nonegative solutions in boundary value problems.},
journal = {J. Math. Comput. Sci.},
volume = {2},
year = {2012},
pages = {684--689},
doi = {}
}