Existence and Multiplicity of Solutions to a Boundary Value Problem for Impulsive Differential Equations
We investigate the existence and multiplicity of solutions to a boundary value problem for impulsive differential equations. By using critical point theory, some criteria are obtained to guarantee that the impulsive problem has at least one solution, at least two solutions, and infinitely many solut...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/401740 |
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| _version_ | 1832560398079885312 |
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| author | Chunyan He Yongzhi Liao Yongkun Li |
| author_facet | Chunyan He Yongzhi Liao Yongkun Li |
| author_sort | Chunyan He |
| collection | DOAJ |
| description | We investigate the existence and multiplicity of solutions to a boundary value problem for impulsive differential equations. By using critical point theory, some criteria are obtained to guarantee that the impulsive problem has at least one solution, at least two solutions, and infinitely many solutions. Some examples are given to illustrate the effectiveness of our results. |
| format | Article |
| id | doaj-art-80d79d5d14f941dbb2e8dbd507903388 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-80d79d5d14f941dbb2e8dbd5079033882025-02-03T01:27:44ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/401740401740Existence and Multiplicity of Solutions to a Boundary Value Problem for Impulsive Differential EquationsChunyan He0Yongzhi Liao1Yongkun Li2Department of Mathematics, Yunnan University, Kunming, Yunnan 650091, ChinaSchool of Mathematics and Computer Science, Panzhihua University, Panzhihua, Sichuan 617000, ChinaDepartment of Mathematics, Yunnan University, Kunming, Yunnan 650091, ChinaWe investigate the existence and multiplicity of solutions to a boundary value problem for impulsive differential equations. By using critical point theory, some criteria are obtained to guarantee that the impulsive problem has at least one solution, at least two solutions, and infinitely many solutions. Some examples are given to illustrate the effectiveness of our results.http://dx.doi.org/10.1155/2013/401740 |
| spellingShingle | Chunyan He Yongzhi Liao Yongkun Li Existence and Multiplicity of Solutions to a Boundary Value Problem for Impulsive Differential Equations Journal of Applied Mathematics |
| title | Existence and Multiplicity of Solutions to a Boundary Value Problem for Impulsive Differential Equations |
| title_full | Existence and Multiplicity of Solutions to a Boundary Value Problem for Impulsive Differential Equations |
| title_fullStr | Existence and Multiplicity of Solutions to a Boundary Value Problem for Impulsive Differential Equations |
| title_full_unstemmed | Existence and Multiplicity of Solutions to a Boundary Value Problem for Impulsive Differential Equations |
| title_short | Existence and Multiplicity of Solutions to a Boundary Value Problem for Impulsive Differential Equations |
| title_sort | existence and multiplicity of solutions to a boundary value problem for impulsive differential equations |
| url | http://dx.doi.org/10.1155/2013/401740 |
| work_keys_str_mv | AT chunyanhe existenceandmultiplicityofsolutionstoaboundaryvalueproblemforimpulsivedifferentialequations AT yongzhiliao existenceandmultiplicityofsolutionstoaboundaryvalueproblemforimpulsivedifferentialequations AT yongkunli existenceandmultiplicityofsolutionstoaboundaryvalueproblemforimpulsivedifferentialequations |