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2014 Solvability of Third-Order Three-Point Boundary Value Problems
Dongyuan Liu, Zigen Ouyang
Abstr. Appl. Anal. 2014: 1-7 (2014). DOI: 10.1155/2014/793639


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.


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Dongyuan Liu. Zigen Ouyang. "Solvability of Third-Order Three-Point Boundary Value Problems." Abstr. Appl. Anal. 2014 1 - 7, 2014.


Published: 2014
First available in Project Euclid: 2 October 2014

zbMATH: 1151.34010
MathSciNet: MR3206821
Digital Object Identifier: 10.1155/2014/793639

Rights: Copyright © 2014 Hindawi

Vol.2014 • 2014
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