The Solutions of Sturm-Liouville Boundary-Value Problem for Fourth-Order Impulsive Differential Equation via Variational Methods
The Sturm-Liouville boundary-value problem for fourth-order impulsive differential equations is studied. The existence results for one solution and multiple solutions are obtained. The main ideas involve variational methods and three critical points theory.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/690381 |
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| _version_ | 1832545738049978368 |
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| author | Yu Tian Dongpo Sun |
| author_facet | Yu Tian Dongpo Sun |
| author_sort | Yu Tian |
| collection | DOAJ |
| description | The Sturm-Liouville boundary-value problem for fourth-order impulsive differential equations is studied. The existence results for one solution and multiple solutions are obtained. The main ideas involve variational methods and three critical points theory. |
| format | Article |
| id | doaj-art-c4c86b56e40d4803a6d8d534cea0d2a4 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-c4c86b56e40d4803a6d8d534cea0d2a42025-02-03T07:24:55ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/690381690381The Solutions of Sturm-Liouville Boundary-Value Problem for Fourth-Order Impulsive Differential Equation via Variational MethodsYu Tian0Dongpo Sun1School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, ChinaSchool of Science, Beijing University of Posts and Telecommunications, Beijing 100876, ChinaThe Sturm-Liouville boundary-value problem for fourth-order impulsive differential equations is studied. The existence results for one solution and multiple solutions are obtained. The main ideas involve variational methods and three critical points theory.http://dx.doi.org/10.1155/2014/690381 |
| spellingShingle | Yu Tian Dongpo Sun The Solutions of Sturm-Liouville Boundary-Value Problem for Fourth-Order Impulsive Differential Equation via Variational Methods Abstract and Applied Analysis |
| title | The Solutions of Sturm-Liouville Boundary-Value Problem for Fourth-Order Impulsive Differential Equation via Variational Methods |
| title_full | The Solutions of Sturm-Liouville Boundary-Value Problem for Fourth-Order Impulsive Differential Equation via Variational Methods |
| title_fullStr | The Solutions of Sturm-Liouville Boundary-Value Problem for Fourth-Order Impulsive Differential Equation via Variational Methods |
| title_full_unstemmed | The Solutions of Sturm-Liouville Boundary-Value Problem for Fourth-Order Impulsive Differential Equation via Variational Methods |
| title_short | The Solutions of Sturm-Liouville Boundary-Value Problem for Fourth-Order Impulsive Differential Equation via Variational Methods |
| title_sort | solutions of sturm liouville boundary value problem for fourth order impulsive differential equation via variational methods |
| url | http://dx.doi.org/10.1155/2014/690381 |
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