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Green’s Function and Positive Solutions for a Second-Order Singular Boundary Value Problem with Integral Boundary Conditions and a Delayed Argument

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  • Xuemei Zhang
  • Meiqiang Feng

Abstract

This paper investigates the expression and properties of Green’s function for a second-order singular boundary value problem with integral boundary conditions and delayed argument , where and, may be singular at or/and at . Furthermore, several new and more general results are obtained for the existence of positive solutions for the above problem by using Krasnosel’skii’s fixed point theorem. We discuss our problems with a delayed argument, which may concern optimization issues of some technical problems. Moreover, the approach to express the integral equation of the above problem is different from earlier approaches. Our results cover a second-order boundary value problem without deviating arguments and are compared with some recent results.

Suggested Citation

  • Xuemei Zhang & Meiqiang Feng, 2014. "Green’s Function and Positive Solutions for a Second-Order Singular Boundary Value Problem with Integral Boundary Conditions and a Delayed Argument," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-9, August.
    • Handle: RePEc:hin:jnlaaa:393187
    DOI: 10.1155/2014/393187
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