On Asymptotic Behavior for Reaction Diffusion Equation with Small Time Delay
We investigate the asymptotic behavior of scalar diffusion equation with small time delay ut-Δu=f(ut,u(t-τ)). Roughly speaking, any bounded solution will enter and stay in the neighborhood of one equilibrium when the equilibria are discrete.
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2011/142128 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832560367675375616 |
|---|---|
| author | Xunwu Yin |
| author_facet | Xunwu Yin |
| author_sort | Xunwu Yin |
| collection | DOAJ |
| description | We investigate the asymptotic behavior of scalar diffusion equation with small time delay ut-Δu=f(ut,u(t-τ)). Roughly speaking, any bounded solution will enter and stay in the neighborhood of one equilibrium when the equilibria are discrete. |
| format | Article |
| id | doaj-art-0c3b571241cb46aea0bcca08687d11a8 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-0c3b571241cb46aea0bcca08687d11a82025-02-03T01:27:43ZengWileyAbstract and Applied Analysis1085-33751687-04092011-01-01201110.1155/2011/142128142128On Asymptotic Behavior for Reaction Diffusion Equation with Small Time DelayXunwu Yin0School of Electrical Engineering and Automation, Tianjin University, Tianjin 300072, ChinaWe investigate the asymptotic behavior of scalar diffusion equation with small time delay ut-Δu=f(ut,u(t-τ)). Roughly speaking, any bounded solution will enter and stay in the neighborhood of one equilibrium when the equilibria are discrete.http://dx.doi.org/10.1155/2011/142128 |
| spellingShingle | Xunwu Yin On Asymptotic Behavior for Reaction Diffusion Equation with Small Time Delay Abstract and Applied Analysis |
| title | On Asymptotic Behavior for Reaction Diffusion Equation with Small Time Delay |
| title_full | On Asymptotic Behavior for Reaction Diffusion Equation with Small Time Delay |
| title_fullStr | On Asymptotic Behavior for Reaction Diffusion Equation with Small Time Delay |
| title_full_unstemmed | On Asymptotic Behavior for Reaction Diffusion Equation with Small Time Delay |
| title_short | On Asymptotic Behavior for Reaction Diffusion Equation with Small Time Delay |
| title_sort | on asymptotic behavior for reaction diffusion equation with small time delay |
| url | http://dx.doi.org/10.1155/2011/142128 |
| work_keys_str_mv | AT xunwuyin onasymptoticbehaviorforreactiondiffusionequationwithsmalltimedelay |