Article citationsMore>>

A. Guezane-Lakoud and L. Zenkoufi, “Positive Solution of a Three-Point Nonlinear Boundary Value Problem for Second Order Differential Equations,” International Journal of Applied Mathematics and Statistics, Vol. 20, 2011, pp. 38-46.

has been cited by the following article:

• 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 .