EXISTENCE AND UNIQUENESS OF SOLUTION FOR A SECOND ORDER BOUNDARY VALUE PROBLEM
This paper deals with a second order boundary value problem withonly integrals conditions. Our aim is to give new conditions on the nonlinearterm; then, using Banach contraction principle and Leray Schauder nonlinearalternative, we establish the existence of nontrivial solution of the consideredproblem. As an application, some examples to illustrate our results are given
Keywords:
Fixed point theorem, two-point boundary value problem Banach contraction principle, Leray Schauder nonlinear alternative, second-order equation,
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- Current address : A. Guezane-Lakoud and N. Hamidane;Laboratory of Advanced Materials, Faculty of Sciences, Badji Mokhtar-Annaba University, P.O. Box 12, 23000, Annaba, ALGERIA.
- R. Khaldi; Laboratory LASEA, Faculty of Sciences, Badji Mokhtar-Annaba University, P.O. Box , 23000, Annaba, ALGERIA.
- E-mail address : a_guezane@yahoo.fr; nhamidane@yahoo.com, rkhadi@yahoo.fr URL: http://communications.science.ankara.edu.tr/index.php?series=A1
- ISSN: 1303-5991
- Yayın Aralığı: Yılda 4 Sayı
- Başlangıç: 1948
- Yayıncı: Ankara Üniversitesi