Existence of Solutions for Sturm-Liouville Boundary Value Problem of Impulsive Differential Equations
This paper is concerned with the existence of solutions for Sturm-Liouville boundary value problem of a class of second-order impulsive differential equations, under different assumptions on the nonlinearity and impulsive functions, existence criteria of single and multiple solutions are established...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/707163 |
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| _version_ | 1832558412383125504 |
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| author | Hong-Rui Sun Ya-Ning Li Juan J. Nieto Qing Tang |
| author_facet | Hong-Rui Sun Ya-Ning Li Juan J. Nieto Qing Tang |
| author_sort | Hong-Rui Sun |
| collection | DOAJ |
| description | This paper is concerned with the existence of solutions for Sturm-Liouville boundary value problem of a class of second-order impulsive differential equations, under different assumptions on the nonlinearity and impulsive functions, existence criteria of single and multiple solutions are established. The main tools are variational method and critical point theorems. Some examples are also given to illustrate the main results. |
| format | Article |
| id | doaj-art-c7260f8ae0cb4f60be3ad76701c169e4 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-c7260f8ae0cb4f60be3ad76701c169e42025-02-03T01:32:31ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/707163707163Existence of Solutions for Sturm-Liouville Boundary Value Problem of Impulsive Differential EquationsHong-Rui Sun0Ya-Ning Li1Juan J. Nieto2Qing Tang3School of Mathematics and Statistics, Lanzhou University, Gansu, Lanzhou 730000, ChinaSchool of Mathematics and Statistics, Lanzhou University, Gansu, Lanzhou 730000, ChinaDepartamento de Análisis Matemático, Universidad de Santiago de Compostela, Santiago de Compostela 15782, SpainDepartamento de Análisis Matemático, Universidad de Santiago de Compostela, Santiago de Compostela 15782, SpainThis paper is concerned with the existence of solutions for Sturm-Liouville boundary value problem of a class of second-order impulsive differential equations, under different assumptions on the nonlinearity and impulsive functions, existence criteria of single and multiple solutions are established. The main tools are variational method and critical point theorems. Some examples are also given to illustrate the main results.http://dx.doi.org/10.1155/2012/707163 |
| spellingShingle | Hong-Rui Sun Ya-Ning Li Juan J. Nieto Qing Tang Existence of Solutions for Sturm-Liouville Boundary Value Problem of Impulsive Differential Equations Abstract and Applied Analysis |
| title | Existence of Solutions for Sturm-Liouville Boundary Value Problem of Impulsive Differential Equations |
| title_full | Existence of Solutions for Sturm-Liouville Boundary Value Problem of Impulsive Differential Equations |
| title_fullStr | Existence of Solutions for Sturm-Liouville Boundary Value Problem of Impulsive Differential Equations |
| title_full_unstemmed | Existence of Solutions for Sturm-Liouville Boundary Value Problem of Impulsive Differential Equations |
| title_short | Existence of Solutions for Sturm-Liouville Boundary Value Problem of Impulsive Differential Equations |
| title_sort | existence of solutions for sturm liouville boundary value problem of impulsive differential equations |
| url | http://dx.doi.org/10.1155/2012/707163 |
| work_keys_str_mv | AT hongruisun existenceofsolutionsforsturmliouvilleboundaryvalueproblemofimpulsivedifferentialequations AT yaningli existenceofsolutionsforsturmliouvilleboundaryvalueproblemofimpulsivedifferentialequations AT juanjnieto existenceofsolutionsforsturmliouvilleboundaryvalueproblemofimpulsivedifferentialequations AT qingtang existenceofsolutionsforsturmliouvilleboundaryvalueproblemofimpulsivedifferentialequations |