Solvability of Third-Order Three-Point Boundary Value Problems

Dongyuan Liu and Zigen Ouyang

Abstract and Applied Analysis, 2014, vol. 2014, 1-7

Abstract:

We are interested in the existence theorems for a third-order three-point boundary value problem. In the nonresonant case, using the Krasnosel’skii fixed point theorem, we obtain some sufficient conditions for the existence of the positive solutions. In addition, we focus on the resonant case, the boundary value problem being transformed into an integral equation with an undetermined parameter, and the existence conditions being obtained by the Intermediate Value Theorem.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:793639

DOI: 10.1155/2014/793639

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