Positive solutions of boundary value problems for nth order ordinary differential equations

M. El-Shahed, Qassim University, Qassim, Saudi Arabia

E. J. Qualitative Theory of Diff. Equ., No. 1. (2008), pp. 1-9.

Communicated by P. Eloe. Received on 2007-08-20
Appeared on 2008-01-07

Abstract: In this paper, we investigate the problem of existence and nonexistence of positive solutions for the nonlinear boundary value problem:

u^{(n)}(t)+\lambda a(t)f(u(t))=0,\,\,\, 0<t<1,

satisfying three kinds of different boundary value conditions. Our analysis relies on Krasnoselskii's fixed point theorem of cone. An example is also given to illustrate the main results.

You can download the full text of this paper in DVI, PostScript or PDF format.