Electron. J. Diff. Equ., Vol. 2013 (2013), No. 173, pp. 1-10.

Existence and uniqueness of positive solutions to a fourth-order two-point boundary-value problem

Mohamed Jleli, Bessem Samet

Abstract:
In this article, we study the existence and uniqueness of positive solutions for a class of semi-linear, fourth order two point boundary value problems. Some examples are presented to illustrate our main results.

Submitted June 3, 2013. Published July 26, 2013.
Math Subject Classifications: 35A24, 74B99.
Key Words: Positive solution; cone; Banach space; metric space; partial order; fixed point.

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Mohamed Jleli
Department of Mathematics
College of Science, King Saud University
P.O. Box 2455, Riyadh 11451, Saudi Arabia
email: jleli@ksu.edu.sa
Bessem Samet
Department of Mathematics
College of Science, King Saud University
P.O. Box 2455, Riyadh 11451, Saudi Arabia
email: bsamet@ksu.edu.sa

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