Robustness of Exponential Dissipation with respect to Small Time Delay
We investigate robustness of exponential dissipation for the following general nonlinear evolutionary equation with small time delay: We firstly obtain a converse Lyapunov theorem. With the help of it, we establish an important result on robustness of exponential dissipation to small time delay ass...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/361970 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832552813223215104 |
|---|---|
| author | Xunwu Yin |
| author_facet | Xunwu Yin |
| author_sort | Xunwu Yin |
| collection | DOAJ |
| description | We investigate robustness of exponential dissipation for the following general nonlinear evolutionary equation with small time delay: We firstly obtain a converse Lyapunov theorem. With the help of it, we establish an important result on robustness of exponential dissipation to small time delay assuming that the nonlinearity is globally Lipschitz. |
| format | Article |
| id | doaj-art-d8c896842bde47e4800d0f51c09aa56a |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-d8c896842bde47e4800d0f51c09aa56a2025-02-03T05:57:45ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/361970361970Robustness of Exponential Dissipation with respect to Small Time DelayXunwu Yin0School of Science, Tianjin Polytechnic University, Tianjin 300387, ChinaWe investigate robustness of exponential dissipation for the following general nonlinear evolutionary equation with small time delay: We firstly obtain a converse Lyapunov theorem. With the help of it, we establish an important result on robustness of exponential dissipation to small time delay assuming that the nonlinearity is globally Lipschitz.http://dx.doi.org/10.1155/2013/361970 |
| spellingShingle | Xunwu Yin Robustness of Exponential Dissipation with respect to Small Time Delay Abstract and Applied Analysis |
| title | Robustness of Exponential Dissipation with respect to Small Time Delay |
| title_full | Robustness of Exponential Dissipation with respect to Small Time Delay |
| title_fullStr | Robustness of Exponential Dissipation with respect to Small Time Delay |
| title_full_unstemmed | Robustness of Exponential Dissipation with respect to Small Time Delay |
| title_short | Robustness of Exponential Dissipation with respect to Small Time Delay |
| title_sort | robustness of exponential dissipation with respect to small time delay |
| url | http://dx.doi.org/10.1155/2013/361970 |
| work_keys_str_mv | AT xunwuyin robustnessofexponentialdissipationwithrespecttosmalltimedelay |