Existence of triple positive solutions for a third-order three-point boundary value problem

Authors:
Yongping Sun
Affiliations:
Department of Electron and Information, Zhejiang University of Media and Communications, Hangzhou 310018, Zhejiang, PR China
Venue:
Journal of Computational and Applied Mathematics
Year:
2008

Citing 1
Cited 1

Multiple rositive solutions for a three-point boundary value problem

Mathematical and Computer Modelling: An International Journal

Triple positive solutions to third order three-point BVP with increasing homeomorphism and positive homomorphism

Journal of Computational and Applied Mathematics

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Abstract

In this paper we investigate the existence of triple positive solutions for the nonlinear third-order three-point boundary value problem u^@?(t)=a(t)f(t,u(t),u^'(t),u^''(t)),0[0,~),q:(0,1)-[0,~) are continuous. First, Green's function for the associated linear boundary value problem is constructed, and then, by using a fixed-point theorem due to Avery and Peterson, we establish results on the existence of triple positive solutions to the boundary value problem.