Integral φ0-Stability in terms of Two Measures for Impulsive Differential Equations with “Supremum”
This paper establishes a criterion on integral φ0-stability in terms of two measures for impulsive differential equations with “supremum” by using the cone-valued piecewise continuous Lyapunov functions, Razumikhin method, and comparative method. Meantime, an example is given to illustrate our resul...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/901853 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832551508139311104 |
|---|---|
| author | Peiguang Wang Xiaojing Liu Qing Xu |
| author_facet | Peiguang Wang Xiaojing Liu Qing Xu |
| author_sort | Peiguang Wang |
| collection | DOAJ |
| description | This paper establishes a criterion on integral φ0-stability in terms of two measures for impulsive differential equations with “supremum” by using the cone-valued piecewise continuous Lyapunov functions, Razumikhin method, and comparative method. Meantime, an example is given to illustrate our result. |
| format | Article |
| id | doaj-art-04591abc1f3a477490fe3947c825a836 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-04591abc1f3a477490fe3947c825a8362025-02-03T06:01:15ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/901853901853Integral φ0-Stability in terms of Two Measures for Impulsive Differential Equations with “Supremum”Peiguang Wang0Xiaojing Liu1Qing Xu2College of Electronic and Information Engineering, Hebei University, Baoding 071002, ChinaCollege of Mathematics and Computer Science, Hebei University, Baoding 071002, ChinaCollege of Mathematics and Computer Science, Hebei University, Baoding 071002, ChinaThis paper establishes a criterion on integral φ0-stability in terms of two measures for impulsive differential equations with “supremum” by using the cone-valued piecewise continuous Lyapunov functions, Razumikhin method, and comparative method. Meantime, an example is given to illustrate our result.http://dx.doi.org/10.1155/2014/901853 |
| spellingShingle | Peiguang Wang Xiaojing Liu Qing Xu Integral φ0-Stability in terms of Two Measures for Impulsive Differential Equations with “Supremum” Abstract and Applied Analysis |
| title | Integral φ0-Stability in terms of Two Measures for Impulsive Differential Equations with “Supremum” |
| title_full | Integral φ0-Stability in terms of Two Measures for Impulsive Differential Equations with “Supremum” |
| title_fullStr | Integral φ0-Stability in terms of Two Measures for Impulsive Differential Equations with “Supremum” |
| title_full_unstemmed | Integral φ0-Stability in terms of Two Measures for Impulsive Differential Equations with “Supremum” |
| title_short | Integral φ0-Stability in terms of Two Measures for Impulsive Differential Equations with “Supremum” |
| title_sort | integral φ0 stability in terms of two measures for impulsive differential equations with supremum |
| url | http://dx.doi.org/10.1155/2014/901853 |
| work_keys_str_mv | AT peiguangwang integralph0stabilityintermsoftwomeasuresforimpulsivedifferentialequationswithsupremum AT xiaojingliu integralph0stabilityintermsoftwomeasuresforimpulsivedifferentialequationswithsupremum AT qingxu integralph0stabilityintermsoftwomeasuresforimpulsivedifferentialequationswithsupremum |