Asymptotic behavior of the solutions of a discrete reaction-diffusion equation
By means of Bihari type inequalities, we derive sufficient conditions for solutions of a discrete reaction-diffusion equation to be bounded or to converge to zero. Asymptotic representation of solutions are also derived. Our results yield estimates and explicit attractive regions for the solutions.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2002-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171202012656 |
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| _version_ | 1849683474850512896 |
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| author | Rigoberto Medina Sui Sun Cheng |
| author_facet | Rigoberto Medina Sui Sun Cheng |
| author_sort | Rigoberto Medina |
| collection | DOAJ |
| description | By means of Bihari type inequalities, we derive sufficient
conditions for solutions of a discrete reaction-diffusion equation
to be bounded or to converge to zero. Asymptotic representation of
solutions are also derived. Our results yield estimates and
explicit attractive regions for the solutions. |
| format | Article |
| id | doaj-art-d7ff105ba23543dba26f8dd463dbc1cc |
| institution | DOAJ |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2002-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-d7ff105ba23543dba26f8dd463dbc1cc2025-08-20T03:23:51ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252002-01-0129525726410.1155/S0161171202012656Asymptotic behavior of the solutions of a discrete reaction-diffusion equationRigoberto Medina0Sui Sun Cheng1Departamento de Ciencias Exactas, Universidad de Los Lagos, Casilla 933, Osorno, ChileDepartment of Mathematics, Tsing Hua University, Hsinchu, Taiwan 30043, ChinaBy means of Bihari type inequalities, we derive sufficient conditions for solutions of a discrete reaction-diffusion equation to be bounded or to converge to zero. Asymptotic representation of solutions are also derived. Our results yield estimates and explicit attractive regions for the solutions.http://dx.doi.org/10.1155/S0161171202012656 |
| spellingShingle | Rigoberto Medina Sui Sun Cheng Asymptotic behavior of the solutions of a discrete reaction-diffusion equation International Journal of Mathematics and Mathematical Sciences |
| title | Asymptotic behavior of the solutions of a discrete
reaction-diffusion equation |
| title_full | Asymptotic behavior of the solutions of a discrete
reaction-diffusion equation |
| title_fullStr | Asymptotic behavior of the solutions of a discrete
reaction-diffusion equation |
| title_full_unstemmed | Asymptotic behavior of the solutions of a discrete
reaction-diffusion equation |
| title_short | Asymptotic behavior of the solutions of a discrete
reaction-diffusion equation |
| title_sort | asymptotic behavior of the solutions of a discrete reaction diffusion equation |
| url | http://dx.doi.org/10.1155/S0161171202012656 |
| work_keys_str_mv | AT rigobertomedina asymptoticbehaviorofthesolutionsofadiscretereactiondiffusionequation AT suisuncheng asymptoticbehaviorofthesolutionsofadiscretereactiondiffusionequation |