On a Third-Order Three-Point Boundary Value Problem
We consider a third-order three-point boundary value problem. We introduce a generalized polynomial growth condition to obtain the existence of a nontrivial solution by using Leray-Schauder nonlinear alternative, then we give an example to illustrate our results.
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2012-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2012/513189 |
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doaj-b49c4bbfb2194a46baa1dd9a40f344702020-11-24T22:37:42ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252012-01-01201210.1155/2012/513189513189On a Third-Order Three-Point Boundary Value ProblemA. Guezane-Lakoud0N. Hamidane1R. Khaldi2Laboratory of Advanced Materials, Faculty of Sciences, Badji Mokhtar-Annaba University, P.O. Box 12, 23000 Annaba, AlgeriaLaboratory of Advanced Materials, Faculty of Sciences, Badji Mokhtar-Annaba University, P.O. Box 12, 23000 Annaba, AlgeriaLaboratory LASEA, Faculty of Sciences, Badji Mokhtar-Annaba University, P.O. Box 12, 23000 Annaba, AlgeriaWe consider a third-order three-point boundary value problem. We introduce a generalized polynomial growth condition to obtain the existence of a nontrivial solution by using Leray-Schauder nonlinear alternative, then we give an example to illustrate our results.http://dx.doi.org/10.1155/2012/513189 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
A. Guezane-Lakoud N. Hamidane R. Khaldi |
| spellingShingle |
A. Guezane-Lakoud N. Hamidane R. Khaldi On a Third-Order Three-Point Boundary Value Problem International Journal of Mathematics and Mathematical Sciences |
| author_facet |
A. Guezane-Lakoud N. Hamidane R. Khaldi |
| author_sort |
A. Guezane-Lakoud |
| title |
On a Third-Order Three-Point Boundary Value Problem |
| title_short |
On a Third-Order Three-Point Boundary Value Problem |
| title_full |
On a Third-Order Three-Point Boundary Value Problem |
| title_fullStr |
On a Third-Order Three-Point Boundary Value Problem |
| title_full_unstemmed |
On a Third-Order Three-Point Boundary Value Problem |
| title_sort |
on a third-order three-point boundary value problem |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
2012-01-01 |
| description |
We consider a third-order three-point boundary value problem. We introduce a generalized polynomial growth condition to obtain the existence of a nontrivial solution by using Leray-Schauder nonlinear alternative, then we give an example to illustrate our results. |
| url |
http://dx.doi.org/10.1155/2012/513189 |
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AT aguezanelakoud onathirdorderthreepointboundaryvalueproblem AT nhamidane onathirdorderthreepointboundaryvalueproblem AT rkhaldi onathirdorderthreepointboundaryvalueproblem |
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