Infinite Boundary Value Problems for Second-Order Nonlinear Impulsive Differential Equations with Supremum
We investigate the infinite boundary value problems for second-order impulsive differential equations with supremum by establishing a new comparison result and using the lower and upper solution method, and obtain the existence results for their maximal and minimal solutions.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2010-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2010/393757 |
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| _version_ | 1850211486545215488 |
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| author | Piao-Piao Shi Wen-Xia Wang |
| author_facet | Piao-Piao Shi Wen-Xia Wang |
| author_sort | Piao-Piao Shi |
| collection | DOAJ |
| description | We investigate the infinite boundary value problems for second-order
impulsive differential equations with supremum by establishing a new comparison result
and using the lower and upper solution method, and obtain the existence results for their
maximal and minimal solutions. |
| format | Article |
| id | doaj-art-8caef5d8f29c4f0f8a6677b1147c921f |
| institution | OA Journals |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-8caef5d8f29c4f0f8a6677b1147c921f2025-08-20T02:09:33ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2010-01-01201010.1155/2010/393757393757Infinite Boundary Value Problems for Second-Order Nonlinear Impulsive Differential Equations with SupremumPiao-Piao Shi0Wen-Xia Wang1School of Mathematics, Jinzhong University, Jinzhong, Shanxi 030600, ChinaDepartment of Mathematics, Taiyuan Normal University, Taiyuan, Shanxi 030012, ChinaWe investigate the infinite boundary value problems for second-order impulsive differential equations with supremum by establishing a new comparison result and using the lower and upper solution method, and obtain the existence results for their maximal and minimal solutions.http://dx.doi.org/10.1155/2010/393757 |
| spellingShingle | Piao-Piao Shi Wen-Xia Wang Infinite Boundary Value Problems for Second-Order Nonlinear Impulsive Differential Equations with Supremum Discrete Dynamics in Nature and Society |
| title | Infinite Boundary Value Problems for Second-Order Nonlinear Impulsive Differential Equations with Supremum |
| title_full | Infinite Boundary Value Problems for Second-Order Nonlinear Impulsive Differential Equations with Supremum |
| title_fullStr | Infinite Boundary Value Problems for Second-Order Nonlinear Impulsive Differential Equations with Supremum |
| title_full_unstemmed | Infinite Boundary Value Problems for Second-Order Nonlinear Impulsive Differential Equations with Supremum |
| title_short | Infinite Boundary Value Problems for Second-Order Nonlinear Impulsive Differential Equations with Supremum |
| title_sort | infinite boundary value problems for second order nonlinear impulsive differential equations with supremum |
| url | http://dx.doi.org/10.1155/2010/393757 |
| work_keys_str_mv | AT piaopiaoshi infiniteboundaryvalueproblemsforsecondordernonlinearimpulsivedifferentialequationswithsupremum AT wenxiawang infiniteboundaryvalueproblemsforsecondordernonlinearimpulsivedifferentialequationswithsupremum |