![](/images/graphics-bg.png)
Robustness of Exponential Dissipation with respect to Small Time Delay
Author
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-06-06
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
We investigate robustness of exponential dissipation for the following general nonlinear evolutionary equation with small time delay: ∂tu+Au=f(u(t),u(t−τ)).
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.
American Psychological Association (APA)
Yin, Xunwu. 2013. Robustness of Exponential Dissipation with respect to Small Time Delay. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-465953
Modern Language Association (MLA)
Yin, Xunwu. Robustness of Exponential Dissipation with respect to Small Time Delay. Abstract and Applied Analysis No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-465953
American Medical Association (AMA)
Yin, Xunwu. Robustness of Exponential Dissipation with respect to Small Time Delay. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-465953
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-465953