Almost periodic solutions of distributed parameter biochemical systems with time delay and time varying input
In this article we study the existence of almost periodic solutions for distributed parameters biochemical system, with time delay when the input $S_{m in}$ is time dependent. This study is motivated by the input begin time dependent in many applications, and by the importance of almost periodic...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Texas State University
2013-07-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2013/161/abstr.html |
| _version_ | 1819203493730189312 |
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| author | Abdou K. Drame Mangala R. Kothari Peter R. Wolenski |
| author_facet | Abdou K. Drame Mangala R. Kothari Peter R. Wolenski |
| author_sort | Abdou K. Drame |
| collection | DOAJ |
| description | In this article we study the existence of almost periodic solutions for distributed parameters biochemical system, with time delay when the input $S_{m in}$ is time dependent. This study is motivated by the input begin time dependent in many applications, and by the importance of almost periodically varying environments. Using the semigroup method, we prove that if the input is almost periodic then the system has an almost periodic solution. |
| first_indexed | 2024-12-23T04:20:48Z |
| format | Article |
| id | doaj.art-bb692cc0cfe0432883836876a75fdcdf |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-23T04:20:48Z |
| publishDate | 2013-07-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-bb692cc0cfe0432883836876a75fdcdf2022-12-21T18:00:16ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912013-07-012013161,111Almost periodic solutions of distributed parameter biochemical systems with time delay and time varying inputAbdou K. DrameMangala R. KothariPeter R. WolenskiIn this article we study the existence of almost periodic solutions for distributed parameters biochemical system, with time delay when the input $S_{m in}$ is time dependent. This study is motivated by the input begin time dependent in many applications, and by the importance of almost periodically varying environments. Using the semigroup method, we prove that if the input is almost periodic then the system has an almost periodic solution.http://ejde.math.txstate.edu/Volumes/2013/161/abstr.htmlTime delayalmost periodic solutionsbiochemical systempartial functional differential equations |
| spellingShingle | Abdou K. Drame Mangala R. Kothari Peter R. Wolenski Almost periodic solutions of distributed parameter biochemical systems with time delay and time varying input Electronic Journal of Differential Equations Time delay almost periodic solutions biochemical system partial functional differential equations |
| title | Almost periodic solutions of distributed parameter biochemical systems with time delay and time varying input |
| title_full | Almost periodic solutions of distributed parameter biochemical systems with time delay and time varying input |
| title_fullStr | Almost periodic solutions of distributed parameter biochemical systems with time delay and time varying input |
| title_full_unstemmed | Almost periodic solutions of distributed parameter biochemical systems with time delay and time varying input |
| title_short | Almost periodic solutions of distributed parameter biochemical systems with time delay and time varying input |
| title_sort | almost periodic solutions of distributed parameter biochemical systems with time delay and time varying input |
| topic | Time delay almost periodic solutions biochemical system partial functional differential equations |
| url | http://ejde.math.txstate.edu/Volumes/2013/161/abstr.html |
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