Invariant regions and existence of global solutions to reaction-diffusion systems without conditions on the growth of nonlinearities
This article concerns the existence of global solutions for a coupled 2-component reaction diffusion system with a full matrix diffusion and exponential nonlinearities. We show that some results of global and bounded solutions are established via invariant regions and the Lyapunov functional. A...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Texas State University
2016-06-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2016/156/abstr.html |
| _version_ | 1818482158564540416 |
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| author | Samir Bendoukha Salem Abdelmalek |
| author_facet | Samir Bendoukha Salem Abdelmalek |
| author_sort | Samir Bendoukha |
| collection | DOAJ |
| description | This article concerns the existence of global solutions for a coupled
2-component reaction diffusion system with a full matrix diffusion and
exponential nonlinearities. We show that some results of global and bounded
solutions are established via invariant regions and the Lyapunov functional. A
numerical example is used to illustrate our results. |
| first_indexed | 2024-12-10T11:44:29Z |
| format | Article |
| id | doaj.art-64bc53cae9c744c7a2ecb11fdaebb5cc |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-10T11:44:29Z |
| publishDate | 2016-06-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-64bc53cae9c744c7a2ecb11fdaebb5cc2022-12-22T01:50:09ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912016-06-012016156,111Invariant regions and existence of global solutions to reaction-diffusion systems without conditions on the growth of nonlinearitiesSamir Bendoukha0Salem Abdelmalek1 Taibah Univ., Saudi Arabia Taibah Univ., Saudi Arabia This article concerns the existence of global solutions for a coupled 2-component reaction diffusion system with a full matrix diffusion and exponential nonlinearities. We show that some results of global and bounded solutions are established via invariant regions and the Lyapunov functional. A numerical example is used to illustrate our results.http://ejde.math.txstate.edu/Volumes/2016/156/abstr.htmlReaction-diffusion systemglobal solution, Lyapunov functional |
| spellingShingle | Samir Bendoukha Salem Abdelmalek Invariant regions and existence of global solutions to reaction-diffusion systems without conditions on the growth of nonlinearities Electronic Journal of Differential Equations Reaction-diffusion system global solution, Lyapunov functional |
| title | Invariant regions and existence of global solutions to reaction-diffusion systems without conditions on the growth of nonlinearities |
| title_full | Invariant regions and existence of global solutions to reaction-diffusion systems without conditions on the growth of nonlinearities |
| title_fullStr | Invariant regions and existence of global solutions to reaction-diffusion systems without conditions on the growth of nonlinearities |
| title_full_unstemmed | Invariant regions and existence of global solutions to reaction-diffusion systems without conditions on the growth of nonlinearities |
| title_short | Invariant regions and existence of global solutions to reaction-diffusion systems without conditions on the growth of nonlinearities |
| title_sort | invariant regions and existence of global solutions to reaction diffusion systems without conditions on the growth of nonlinearities |
| topic | Reaction-diffusion system global solution, Lyapunov functional |
| url | http://ejde.math.txstate.edu/Volumes/2016/156/abstr.html |
| work_keys_str_mv | AT samirbendoukha invariantregionsandexistenceofglobalsolutionstoreactiondiffusionsystemswithoutconditionsonthegrowthofnonlinearities AT salemabdelmalek invariantregionsandexistenceofglobalsolutionstoreactiondiffusionsystemswithoutconditionsonthegrowthofnonlinearities |