Existence of multiple positive solutions for m-point boundary value problems in Banach spaces

Authors:
Yu-Lin Zhao;Hai-Bo Chen
Affiliations:
Department of Mathematics, Central South University, Changsha 410075, PR China and Department of Mathematics and Information Science, Hunan University of Technology, Zhuzhou 412007, PR China;Department of Mathematics, Central South University, Changsha 410075, PR China
Venue:
Journal of Computational and Applied Mathematics
Year:
2008

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Abstract

This paper deals with the positive solutions of m-point nonlinear boundary value problem in Banach spaces. By using the fixed-point theorem of strict-set-contractions, some sufficient conditions for the existence of at least one or two positive solutions to m-point boundary value problem in Banach spaces are obtained. An example illustrating the main results is given.