Nonlinear Boundary Value Problem of First-Order Impulsive Functional Differential Equations
This paper investigates the nonlinear boundary value problem for a class of first-order impulsive functional differential equations. By establishing a comparison result and utilizing the method of upper and lower solutions, some criteria on the existence of extremal solutions as well as the unique s...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2010-01-01
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| Series: | Journal of Inequalities and Applications |
| Online Access: | http://dx.doi.org/10.1155/2010/490741 |
| _version_ | 1819025379797499904 |
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| author | Kexue Zhang Xinzhi Liu |
| author_facet | Kexue Zhang Xinzhi Liu |
| author_sort | Kexue Zhang |
| collection | DOAJ |
| description | This paper investigates the nonlinear boundary value problem for a class of first-order impulsive functional differential equations. By establishing a comparison result and utilizing the method of upper and lower solutions, some criteria on the existence of extremal solutions as well as the unique solution are obtained. Examples are discussed to illustrate the validity of the obtained results. |
| first_indexed | 2024-12-21T05:09:45Z |
| format | Article |
| id | doaj.art-64dcfe31de2e4deab3a6a122ebcde77d |
| institution | Directory Open Access Journal |
| issn | 1025-5834 1029-242X |
| language | English |
| last_indexed | 2024-12-21T05:09:45Z |
| publishDate | 2010-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-64dcfe31de2e4deab3a6a122ebcde77d2022-12-21T19:15:05ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2010-01-01201010.1155/2010/490741Nonlinear Boundary Value Problem of First-Order Impulsive Functional Differential EquationsKexue ZhangXinzhi LiuThis paper investigates the nonlinear boundary value problem for a class of first-order impulsive functional differential equations. By establishing a comparison result and utilizing the method of upper and lower solutions, some criteria on the existence of extremal solutions as well as the unique solution are obtained. Examples are discussed to illustrate the validity of the obtained results.http://dx.doi.org/10.1155/2010/490741 |
| spellingShingle | Kexue Zhang Xinzhi Liu Nonlinear Boundary Value Problem of First-Order Impulsive Functional Differential Equations Journal of Inequalities and Applications |
| title | Nonlinear Boundary Value Problem of First-Order Impulsive Functional Differential Equations |
| title_full | Nonlinear Boundary Value Problem of First-Order Impulsive Functional Differential Equations |
| title_fullStr | Nonlinear Boundary Value Problem of First-Order Impulsive Functional Differential Equations |
| title_full_unstemmed | Nonlinear Boundary Value Problem of First-Order Impulsive Functional Differential Equations |
| title_short | Nonlinear Boundary Value Problem of First-Order Impulsive Functional Differential Equations |
| title_sort | nonlinear boundary value problem of first order impulsive functional differential equations |
| url | http://dx.doi.org/10.1155/2010/490741 |
| work_keys_str_mv | AT kexuezhang nonlinearboundaryvalueproblemoffirstorderimpulsivefunctionaldifferentialequations AT xinzhiliu nonlinearboundaryvalueproblemoffirstorderimpulsivefunctionaldifferentialequations |