Positive Solution for Fourth Order Boundary Value Problem

S. A. Al-Mezel

Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah - 21589 (Saudi Arabia)

DOI : http://dx.doi.org/10.13005/msri/040105

ABSTRACT:

In this paper, we investigate the problem of existence of positive solutions for the nonlinear fourth order boundary value problem: D4u(t) = la(t)f(u(t)), 0 < t < 1, u(0) = u"(0) = u'(1) = u"'(1) = 0, where l is a positive parameter. By using Krasnoesel?skii?s fixed point theorem of cone, we establish various results on the existence of positive solutions of the boundary value problem. Under various assumptions on a(t) and f(u(t)), we give the intervals of the parameter l which yield the existence of

KEYWORDS: Fourth order boundary value problem; Krasnoesel?skii?s fixed point theorem

Copy the following to cite this article: Al-Mezel S. A. Positive Solution for Fourth Order Boundary Value Problem. Mat.Sci.Res.India;4(1)

Copy the following to cite this URL: Al-Mezel S. A. Positive Solution for Fourth Order Boundary Value Problem. Mat.Sci.Res.India;4(1). Available from: http://www.materialsciencejournal.org/?p=1539

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