Global existence and boundedness for quasi-variational systems
We consider quasi-variational ordinary differential systems, which may be considered as the motion law for holonomic mechanical systems. Even when the potential energy of the system is not bounded from below, by constructing appropriate Liapunov functions and using the comparison method, we obtain s...
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| Format: | Article |
| Language: | English |
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Wiley
1999-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171299222818 |
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| _version_ | 1832563813572935680 |
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| author | Giancarlo Cantarelli |
| author_facet | Giancarlo Cantarelli |
| author_sort | Giancarlo Cantarelli |
| collection | DOAJ |
| description | We consider quasi-variational ordinary differential systems, which
may be considered as the motion law for holonomic mechanical systems. Even when the potential energy of the system is not bounded from below, by constructing appropriate Liapunov functions and using the comparison method, we obtain sufficient conditions for global existence of solutions in the future and for their partial boundedness. |
| format | Article |
| id | doaj-art-f287e8a7248a4ec99c2b2f2ca6e84c6f |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1999-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-f287e8a7248a4ec99c2b2f2ca6e84c6f2025-02-03T01:12:29ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251999-01-0122228131110.1155/S0161171299222818Global existence and boundedness for quasi-variational systemsGiancarlo Cantarelli0Dipartimento di Matematica, Università degli studi di Parma, Via M. D'Azeglio 85/A , Parma 43100, ItalyWe consider quasi-variational ordinary differential systems, which may be considered as the motion law for holonomic mechanical systems. Even when the potential energy of the system is not bounded from below, by constructing appropriate Liapunov functions and using the comparison method, we obtain sufficient conditions for global existence of solutions in the future and for their partial boundedness.http://dx.doi.org/10.1155/S0161171299222818Global existenceboundedness. |
| spellingShingle | Giancarlo Cantarelli Global existence and boundedness for quasi-variational systems International Journal of Mathematics and Mathematical Sciences Global existence boundedness. |
| title | Global existence and boundedness for quasi-variational systems |
| title_full | Global existence and boundedness for quasi-variational systems |
| title_fullStr | Global existence and boundedness for quasi-variational systems |
| title_full_unstemmed | Global existence and boundedness for quasi-variational systems |
| title_short | Global existence and boundedness for quasi-variational systems |
| title_sort | global existence and boundedness for quasi variational systems |
| topic | Global existence boundedness. |
| url | http://dx.doi.org/10.1155/S0161171299222818 |
| work_keys_str_mv | AT giancarlocantarelli globalexistenceandboundednessforquasivariationalsystems |