Solvability of Third-Order Three-Point Boundary Value Problems
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 b...
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Published in | Abstract and Applied Analysis Vol. 2014; no. 2014; pp. 474 - 480-1346 |
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Main Authors | , |
Format | Journal Article |
Language | English |
Published |
Cairo, Egypt
Hindawi Limiteds
01.01.2014
Hindawi Publishing Corporation John Wiley & Sons, Inc Hindawi Limited Wiley |
Subjects | |
Online Access | Get full text |
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Summary: | 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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ISSN: | 1085-3375 1687-0409 |
DOI: | 10.1155/2014/793639 |