Journal of Applied Mathematics and Computing

, Volume 38, Issue 1–2, pp 443–452 | Cite as

Eigenvalue for a singular second order three-point boundary value problem

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Abstract

In this paper, the existence of positive solutions for a singular second-order three-point boundary value problem is investigated. By using Krasnoselskii’s fixed point theorem, several sufficient conditions for the existence of positive solutions and the eigenvalue intervals on which there exist positive solutions are obtained. Finally, two examples are given to illustrate the importance of results obtained.

Keywords

Three-point boundary value problem Krasnoselskii’s fixed point theorem Positive solution Eigenvalue Existence 

Mathematics Subject Classification (2000)

34B10 34B15 34B16 34B18 
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Copyright information

© Korean Society for Computational and Applied Mathematics 2011

Authors and Affiliations

  1. 1.Department of MathematicsShijiazhuang Mechanical Engineering CollegeShijiazhuangP.R. China

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