Averaging of multivalued differential equations
Nonlinear multivalued differential equations with slow and fast subsystems are considered. Under transitivity conditions on the fast subsystem, the slow subsystem can be approximated by an averaged multivalued differential equation. The approximation in the Hausdorff sense is of order O(ϵ1/3) as ϵ→0...
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| Format: | Article |
| Language: | English |
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Wiley
2003-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S016117120300680X |
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| _version_ | 1832554912350732288 |
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| author | G. Grammel |
| author_facet | G. Grammel |
| author_sort | G. Grammel |
| collection | DOAJ |
| description | Nonlinear multivalued differential equations with slow and fast
subsystems are considered. Under transitivity conditions on the
fast subsystem, the slow subsystem can be approximated by an
averaged multivalued differential equation. The approximation in
the Hausdorff sense is of order O(ϵ1/3) as ϵ→0. |
| format | Article |
| id | doaj-art-7cd651c845b944f48eb9ff1a486a780a |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2003-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-7cd651c845b944f48eb9ff1a486a780a2025-02-03T05:50:14ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252003-01-012003251615162210.1155/S016117120300680XAveraging of multivalued differential equationsG. Grammel0Center for Mathematics M6, Technical University Münich, Arcisstr. 21, Münich 80290, GermanyNonlinear multivalued differential equations with slow and fast subsystems are considered. Under transitivity conditions on the fast subsystem, the slow subsystem can be approximated by an averaged multivalued differential equation. The approximation in the Hausdorff sense is of order O(ϵ1/3) as ϵ→0.http://dx.doi.org/10.1155/S016117120300680X |
| spellingShingle | G. Grammel Averaging of multivalued differential equations International Journal of Mathematics and Mathematical Sciences |
| title | Averaging of multivalued differential equations |
| title_full | Averaging of multivalued differential equations |
| title_fullStr | Averaging of multivalued differential equations |
| title_full_unstemmed | Averaging of multivalued differential equations |
| title_short | Averaging of multivalued differential equations |
| title_sort | averaging of multivalued differential equations |
| url | http://dx.doi.org/10.1155/S016117120300680X |
| work_keys_str_mv | AT ggrammel averagingofmultivalueddifferentialequations |