New Results on Impulsive Functional Differential Equations with Infinite Delays
We investigate the stability for a class of impulsive functional differential equations with infinite delays by using Lyapunov functions and Razumikhin-technique. Some new Razumikhin-type theorems on stability are obtained, which shows that impulses do contribute to the system’s stability behavior....
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/132619 |
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| _version_ | 1849691030431989760 |
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| author | Jie Yang Bing Xie |
| author_facet | Jie Yang Bing Xie |
| author_sort | Jie Yang |
| collection | DOAJ |
| description | We investigate the stability for a class of impulsive functional differential equations with infinite delays by using Lyapunov functions and Razumikhin-technique. Some new Razumikhin-type theorems on stability are obtained, which shows that impulses do contribute to the system’s stability behavior. An example is also given to illustrate the importance of our results. |
| format | Article |
| id | doaj-art-e94a6a9e10e44971a78fcb8de685d522 |
| institution | DOAJ |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-e94a6a9e10e44971a78fcb8de685d5222025-08-20T03:21:09ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/132619132619New Results on Impulsive Functional Differential Equations with Infinite DelaysJie Yang0Bing Xie1School of Mathematical Sciences, Shandong Normal University, Ji'nan 250014, ChinaDepartment of Mathematics, Shandong University, Weihai, Shandong 264209, ChinaWe investigate the stability for a class of impulsive functional differential equations with infinite delays by using Lyapunov functions and Razumikhin-technique. Some new Razumikhin-type theorems on stability are obtained, which shows that impulses do contribute to the system’s stability behavior. An example is also given to illustrate the importance of our results.http://dx.doi.org/10.1155/2013/132619 |
| spellingShingle | Jie Yang Bing Xie New Results on Impulsive Functional Differential Equations with Infinite Delays Abstract and Applied Analysis |
| title | New Results on Impulsive Functional Differential Equations with Infinite Delays |
| title_full | New Results on Impulsive Functional Differential Equations with Infinite Delays |
| title_fullStr | New Results on Impulsive Functional Differential Equations with Infinite Delays |
| title_full_unstemmed | New Results on Impulsive Functional Differential Equations with Infinite Delays |
| title_short | New Results on Impulsive Functional Differential Equations with Infinite Delays |
| title_sort | new results on impulsive functional differential equations with infinite delays |
| url | http://dx.doi.org/10.1155/2013/132619 |
| work_keys_str_mv | AT jieyang newresultsonimpulsivefunctionaldifferentialequationswithinfinitedelays AT bingxie newresultsonimpulsivefunctionaldifferentialequationswithinfinitedelays |