Stabilization of solutions for semilinear parabolic systems as $|x|o infty$
We prove that solutions of the Cauchy problem for semilinear parabolic systems converge to solutions of the Cauchy problem for a corresponding systems of ordinary differential equations, as $|x| o infty$.
| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2009-01-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2009/07/abstr.html |
| _version_ | 1817994560946569216 |
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| author | Alexander Gladkov |
| author_facet | Alexander Gladkov |
| author_sort | Alexander Gladkov |
| collection | DOAJ |
| description | We prove that solutions of the Cauchy problem for semilinear parabolic systems converge to solutions of the Cauchy problem for a corresponding systems of ordinary differential equations, as $|x| o infty$. |
| first_indexed | 2024-04-14T01:53:41Z |
| format | Article |
| id | doaj.art-98157ab6e51e494986fb97192e32fcb5 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-04-14T01:53:41Z |
| publishDate | 2009-01-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-98157ab6e51e494986fb97192e32fcb52022-12-22T02:19:12ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912009-01-01200907,15Stabilization of solutions for semilinear parabolic systems as $|x|o infty$Alexander GladkovWe prove that solutions of the Cauchy problem for semilinear parabolic systems converge to solutions of the Cauchy problem for a corresponding systems of ordinary differential equations, as $|x| o infty$.http://ejde.math.txstate.edu/Volumes/2009/07/abstr.htmlSemilinear parabolic systemsstabilization |
| spellingShingle | Alexander Gladkov Stabilization of solutions for semilinear parabolic systems as $|x|o infty$ Electronic Journal of Differential Equations Semilinear parabolic systems stabilization |
| title | Stabilization of solutions for semilinear parabolic systems as $|x|o infty$ |
| title_full | Stabilization of solutions for semilinear parabolic systems as $|x|o infty$ |
| title_fullStr | Stabilization of solutions for semilinear parabolic systems as $|x|o infty$ |
| title_full_unstemmed | Stabilization of solutions for semilinear parabolic systems as $|x|o infty$ |
| title_short | Stabilization of solutions for semilinear parabolic systems as $|x|o infty$ |
| title_sort | stabilization of solutions for semilinear parabolic systems as x o infty |
| topic | Semilinear parabolic systems stabilization |
| url | http://ejde.math.txstate.edu/Volumes/2009/07/abstr.html |
| work_keys_str_mv | AT alexandergladkov stabilizationofsolutionsforsemilinearparabolicsystemsasxoinfty |