Stability Conditions for Flow Rate of Liquid Between Two Vessels
In this paper we obtain the conditions under which the trivial solution is stable for the following perturbed differential system : <strong> </strong> <strong> </strong> <strong> </strong> <strong> </strong> <strong> </strong>...
| Main Authors: | , |
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| Format: | Article |
| Language: | Arabic |
| Published: |
Mosul University
2009-09-01
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| Series: | Al-Rafidain Journal of Computer Sciences and Mathematics |
| Subjects: | |
| Online Access: | https://csmj.mosuljournals.com/article_163828_b714e3c0c338e9077c7a356c9c706b0c.pdf |
| _version_ | 1818474416436150272 |
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| author | Thair Thanoon Nagham Hana |
| author_facet | Thair Thanoon Nagham Hana |
| author_sort | Thair Thanoon |
| collection | DOAJ |
| description | In this paper we obtain the conditions under which the trivial solution is stable for the following perturbed differential system :
<strong> </strong>
<strong> </strong>
<strong> </strong>
<strong> </strong>
<strong> </strong>
where _ constants.
which described the flow rate of liquid or gases between two vessels, we transform this differential system to auxiliary system which gives the stability conditions of solution by Perron principle, these conditions represent stability conditions for required differential system. |
| first_indexed | 2024-04-14T04:37:31Z |
| format | Article |
| id | doaj.art-e59cc2abbd93482b93a794cecbfa3c81 |
| institution | Directory Open Access Journal |
| issn | 1815-4816 2311-7990 |
| language | Arabic |
| last_indexed | 2024-04-14T04:37:31Z |
| publishDate | 2009-09-01 |
| publisher | Mosul University |
| record_format | Article |
| series | Al-Rafidain Journal of Computer Sciences and Mathematics |
| spelling | doaj.art-e59cc2abbd93482b93a794cecbfa3c812022-12-22T02:11:49ZaraMosul UniversityAl-Rafidain Journal of Computer Sciences and Mathematics1815-48162311-79902009-09-016314115010.33899/csmj.2009.163828163828Stability Conditions for Flow Rate of Liquid Between Two VesselsThair Thanoon0Nagham Hana1College of Computer Sciences and Mathematics University of Mosul, Mosul, IraqCollege of Computer Sciences and Mathematics University of Mosul, IraqIn this paper we obtain the conditions under which the trivial solution is stable for the following perturbed differential system : <strong> </strong> <strong> </strong> <strong> </strong> <strong> </strong> <strong> </strong> where _ constants. which described the flow rate of liquid or gases between two vessels, we transform this differential system to auxiliary system which gives the stability conditions of solution by Perron principle, these conditions represent stability conditions for required differential system.https://csmj.mosuljournals.com/article_163828_b714e3c0c338e9077c7a356c9c706b0c.pdfstabilityperron principle |
| spellingShingle | Thair Thanoon Nagham Hana Stability Conditions for Flow Rate of Liquid Between Two Vessels Al-Rafidain Journal of Computer Sciences and Mathematics stability perron principle |
| title | Stability Conditions for Flow Rate of Liquid Between Two Vessels |
| title_full | Stability Conditions for Flow Rate of Liquid Between Two Vessels |
| title_fullStr | Stability Conditions for Flow Rate of Liquid Between Two Vessels |
| title_full_unstemmed | Stability Conditions for Flow Rate of Liquid Between Two Vessels |
| title_short | Stability Conditions for Flow Rate of Liquid Between Two Vessels |
| title_sort | stability conditions for flow rate of liquid between two vessels |
| topic | stability perron principle |
| url | https://csmj.mosuljournals.com/article_163828_b714e3c0c338e9077c7a356c9c706b0c.pdf |
| work_keys_str_mv | AT thairthanoon stabilityconditionsforflowrateofliquidbetweentwovessels AT naghamhana stabilityconditionsforflowrateofliquidbetweentwovessels |