Solvability of a nonlinear boundary value problem
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Authors
A. Guezane-Lakoud
- Laboratory of Advanced Materials, Faculty of Sciences, Badji Mokhtar University, P. O. Box 12, Annaba, Algeria.
S. KELAIAIA
- Laboratory of Advanced Materials, Faculty of Sciences, Badji Mokhtar University, P. O. Box 12, Annaba, Algeria.
Abstract
In this paper we consider three point boundary value problems
of second order. We introduce new and sufficient conditions that allow us to
obtain the existence of a nontrivial solution by using Leray Schauder nonlinear
alternative. As an application, we give some examples to illustrate our results.
Share and Cite
ISRP Style
A. Guezane-Lakoud, S. KELAIAIA, Solvability of a nonlinear boundary value problem, Journal of Nonlinear Sciences and Applications, 4 (2011), no. 4, 247--261
AMA Style
Guezane-Lakoud A., KELAIAIA S., Solvability of a nonlinear boundary value problem. J. Nonlinear Sci. Appl. (2011); 4(4):247--261
Chicago/Turabian Style
Guezane-Lakoud, A., KELAIAIA, S.. "Solvability of a nonlinear boundary value problem." Journal of Nonlinear Sciences and Applications, 4, no. 4 (2011): 247--261
Keywords
- Fixed point theorem
- Three point boundary value problem
- Non trivial solution.
MSC
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