Geodesic
Solvability of a nonlinear boundary value problem
Guezane-Lakoud, A. 1 ; KELAIAIA, S. 1
1 Laboratory of Advanced Materials, Faculty of Sciences, Badji Mokhtar University, P. O. Box 12, Annaba, Algeria
Journal of nonlinear sciences and its applications, Tome 4 (2011) no. 4, p. 247-261.

Voir la notice de l'article provenant de la source International Scientific Research Publications

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.
DOI : 10.22436/jnsa.004.04.03
Classification : 34B10, 34B15
Keywords: Fixed point theorem, Three point boundary value problem, Non trivial solution.

Guezane-Lakoud, A.  1 ; KELAIAIA, S.  1

1 Laboratory of Advanced Materials, Faculty of Sciences, Badji Mokhtar University, P. O. Box 12, Annaba, Algeria 
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Guezane-Lakoud, A.  ; KELAIAIA, S. . Solvability of a nonlinear boundary value problem. Journal of nonlinear sciences and its applications, Tome 4 (2011) no. 4, p. 247-261. doi : 10.22436/jnsa.004.04.03. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.004.04.03/

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