IJPAM: Volume 70, No. 4 (2011)
THE UPPER AND LOWER SOLUTION METHOD FOR
NONLINEAR FOURTH-ORDER THREE-POINT
BOUNDARY VALUE PROBLEM
NONLINEAR FOURTH-ORDER THREE-POINT
BOUNDARY VALUE PROBLEM
A. Elhaffaf
, M. Naceri
Department of Mathematics
Faculty of Science
Oran University
BP1524, Es-Senia, ALGERIA



Faculty of Science
Oran University
BP1524, Es-Senia, ALGERIA
Abstract. This paper is concerned with the following fourth-order three-point
boundary value problem

where



![$ f\in{C}({[0,1]}\times{\mathbb R}^{3},{\mathbb R})$](img8.png)
Some existence results are established for this problem via upper and lower solution method and fixed point.
Received: February 19, 2011
AMS Subject Classification: 34B10, 34B15, 34B14
Key Words and Phrases: fourth-order ordinary equation, upper and lower solution method, solution existence.
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2011
Volume: 70
Issue: 4