Solvability of a nonlinear boundary value problem
Authors
A. GuezaneLakoud
 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. GuezaneLakoud, S. KELAIAIA, Solvability of a nonlinear boundary value problem, Journal of Nonlinear Sciences and Applications, 4 (2011), no. 4, 247261
AMA Style
GuezaneLakoud A., KELAIAIA S., Solvability of a nonlinear boundary value problem. J. Nonlinear Sci. Appl. (2011); 4(4):247261
Chicago/Turabian Style
GuezaneLakoud, A., KELAIAIA, S.. "Solvability of a nonlinear boundary value problem." Journal of Nonlinear Sciences and Applications, 4, no. 4 (2011): 247261
Keywords
 Fixed point theorem
 Three point boundary value problem
 Non trivial solution.
MSC
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