A New Comparison Principle for Impulsive Functional Differential Equations
We establish a new comparison principle for impulsive differential systems with time delay. Then, using this comparison principle, we obtain some sufficient conditions for several stabilities of impulsive delay differential equations. Finally, we present an example to show the effectiveness of our r...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2015-01-01
|
| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2015/139828 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832567170012282880 |
|---|---|
| author | Gang Li Weizhong Ling Changming Ding |
| author_facet | Gang Li Weizhong Ling Changming Ding |
| author_sort | Gang Li |
| collection | DOAJ |
| description | We establish a new comparison principle for impulsive differential systems with time delay. Then, using this comparison principle, we obtain some sufficient conditions for several stabilities of impulsive delay differential equations. Finally, we present an example to show the effectiveness of our results. |
| format | Article |
| id | doaj-art-55645361410146cb90b8dc8d39708d6c |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-55645361410146cb90b8dc8d39708d6c2025-02-03T01:02:10ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2015-01-01201510.1155/2015/139828139828A New Comparison Principle for Impulsive Functional Differential EquationsGang Li0Weizhong Ling1Changming Ding2Department of Math, Shandong University of Science and Technology, Qingdao 266590, ChinaFuyang High School, Hangzhou, Zhejiang 311400, ChinaSchool of Mathematical Sciences, Xiamen University, Xiamen 361005, ChinaWe establish a new comparison principle for impulsive differential systems with time delay. Then, using this comparison principle, we obtain some sufficient conditions for several stabilities of impulsive delay differential equations. Finally, we present an example to show the effectiveness of our results.http://dx.doi.org/10.1155/2015/139828 |
| spellingShingle | Gang Li Weizhong Ling Changming Ding A New Comparison Principle for Impulsive Functional Differential Equations Discrete Dynamics in Nature and Society |
| title | A New Comparison Principle for Impulsive Functional Differential Equations |
| title_full | A New Comparison Principle for Impulsive Functional Differential Equations |
| title_fullStr | A New Comparison Principle for Impulsive Functional Differential Equations |
| title_full_unstemmed | A New Comparison Principle for Impulsive Functional Differential Equations |
| title_short | A New Comparison Principle for Impulsive Functional Differential Equations |
| title_sort | new comparison principle for impulsive functional differential equations |
| url | http://dx.doi.org/10.1155/2015/139828 |
| work_keys_str_mv | AT gangli anewcomparisonprincipleforimpulsivefunctionaldifferentialequations AT weizhongling anewcomparisonprincipleforimpulsivefunctionaldifferentialequations AT changmingding anewcomparisonprincipleforimpulsivefunctionaldifferentialequations AT gangli newcomparisonprincipleforimpulsivefunctionaldifferentialequations AT weizhongling newcomparisonprincipleforimpulsivefunctionaldifferentialequations AT changmingding newcomparisonprincipleforimpulsivefunctionaldifferentialequations |