Positive solutions of a nonlinear three-point boundary value problem

Authors:
Bing Liu
Affiliations:
Department of Mathematics, Huazong University of Science and Technology, Wuhan 430074, People's Republic of China and Department of Mathematics, Hubei Normal University, Huangshi, Hubei 435002, Pe ...
Venue:
Applied Mathematics and Computation
Year:
2002

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Abstract

In this paper, by using Krasnoselskii's fixed point theorem in a cone, we study the existence of single and multiple positive solutions to the three-point boundary value problem (BVP) y"(t) + a(t)f(y(t)) = 0, 0 t 1, y'(0) = 0, y(1) = βy(η), where 0 η 1, 0 β 1. As an application, we also give some examples to demonstrate our results.