On the decay rate of solutions of non-autonomous differential systems
Some results on the asymptotic behaviour of solutions of differential equations concerning general decay rate are proved. We prove general criteria on the exponential, polynomial, and more general decay properties of solutions by using suitable Lyapunov's functions. We also present a detailed a...
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| Format: | Article |
| Language: | English |
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Texas State University
2001-01-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2001/05/abstr.html |
| _version_ | 1818206465842741248 |
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| author | Tomas Caraballo |
| author_facet | Tomas Caraballo |
| author_sort | Tomas Caraballo |
| collection | DOAJ |
| description | Some results on the asymptotic behaviour of solutions of differential equations concerning general decay rate are proved. We prove general criteria on the exponential, polynomial, and more general decay properties of solutions by using suitable Lyapunov's functions. We also present a detailed analysis of the perturbed linear and nonlinear differential systems. The theory is illustrated with several examples. |
| first_indexed | 2024-12-12T04:13:28Z |
| format | Article |
| id | doaj.art-1497f2ed79a14a59a6c7816e030c6607 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-12T04:13:28Z |
| publishDate | 2001-01-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-1497f2ed79a14a59a6c7816e030c66072022-12-22T00:38:32ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912001-01-01200105117On the decay rate of solutions of non-autonomous differential systemsTomas CaraballoSome results on the asymptotic behaviour of solutions of differential equations concerning general decay rate are proved. We prove general criteria on the exponential, polynomial, and more general decay properties of solutions by using suitable Lyapunov's functions. We also present a detailed analysis of the perturbed linear and nonlinear differential systems. The theory is illustrated with several examples.http://ejde.math.txstate.edu/Volumes/2001/05/abstr.htmlAsymptotic behaviourexponential and polynomial stabilityrate of decay. |
| spellingShingle | Tomas Caraballo On the decay rate of solutions of non-autonomous differential systems Electronic Journal of Differential Equations Asymptotic behaviour exponential and polynomial stability rate of decay. |
| title | On the decay rate of solutions of non-autonomous differential systems |
| title_full | On the decay rate of solutions of non-autonomous differential systems |
| title_fullStr | On the decay rate of solutions of non-autonomous differential systems |
| title_full_unstemmed | On the decay rate of solutions of non-autonomous differential systems |
| title_short | On the decay rate of solutions of non-autonomous differential systems |
| title_sort | on the decay rate of solutions of non autonomous differential systems |
| topic | Asymptotic behaviour exponential and polynomial stability rate of decay. |
| url | http://ejde.math.txstate.edu/Volumes/2001/05/abstr.html |
| work_keys_str_mv | AT tomascaraballo onthedecayrateofsolutionsofnonautonomousdifferentialsystems |