TITLE:
Existence of Positive Solutions for a Third-Order Multi-Point Boundary Value Problem
AUTHORS:
A. Guezane-Lakoud, L. Zenkoufi
KEYWORDS:
Guo’s Fixed Point Theorem; Three Point Boundary Value Problem; Positive Solution; Leray Schauder Non-Linear Alternative; Contraction Principle
JOURNAL NAME:
Applied Mathematics,
Vol.3 No.9,
September
27,
2012
ABSTRACT: By using Leray-Schauder nonlinear alternative, Banach contraction theorem and Guo-Krasnosel’skii theorem, we discuss the existence, uniqueness and positivity of solution to the third-order multi-point nonhomogeneous boundary value problem (BVP1):
where for The interesting point lies in the fact that the nonlinear term is allowed to depend on the first order derivative .