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Existence of Positive Solutions for Multi-Point Boundary Value Problems on Infinite Intervals in Banach Spaces

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  • Zhaocai Hao
  • Liang Ma

Abstract

We investigate the positive solutions of a class of second-order nonlinear singular differential equations with multi-point boundary value conditions on an infinite interval in Banach spaces. The tools we used are the cone theory and Mönch fixed point theorem and a monotone iterative technique. An example is also given to demonstrate the applications of our results, which include and extend some existing results.

Suggested Citation

  • Zhaocai Hao & Liang Ma, 2012. "Existence of Positive Solutions for Multi-Point Boundary Value Problems on Infinite Intervals in Banach Spaces," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-18, October.
    • Handle: RePEc:hin:jnlaaa:107276
    DOI: 10.1155/2012/107276
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