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Positive solutions of boundary value problems for nth order ordinary differential equations
Journal article   Open access  Peer reviewed

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

Moustafa El-Shahed
Electronic journal of qualitative theory of differential equations, Vol.2008(1), pp.1-9
01/01/2008
DOI: https://doi.org/10.14232/ejqtde.2008.1.1

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
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.
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https://doi.org/10.14232/ejqtde.2008.1.1View
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