Existence and Uniqueness of a Positive Solution for a Third-order Three-point Boundary-value Problem

نویسندگان

  • ALEX P. PALAMIDES
  • NIKOLAOS M. STAVRAKAKIS
چکیده

In this work we study a third-order three-point boundary-value problem (BVP). We derive sufficient conditions that guarantee the positivity of the solution of the corresponding linear BVP Then, based on the classical Guo-Krasnosel’skii’s fixed point theorem, we obtain positive solutions to the nonlinear BVP. Additional hypotheses guarantee the uniqueness of the solution.

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تاریخ انتشار 2010