On the existence of equations of evolution
A time-independent, non-autonomous non-linear system governed by a principle of determinism (the state at a given time is determined by the initial state and by the control history during the intervening closed interval) is shown to obey a generalized evolution equation (1.2), where n is such that t...
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| Format: | Article |
| Language: | English |
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Wiley
1984-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171284000430 |
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| _version_ | 1850215229684711424 |
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| author | J. Lubliner |
| author_facet | J. Lubliner |
| author_sort | J. Lubliner |
| collection | DOAJ |
| description | A time-independent, non-autonomous non-linear system governed by a principle of determinism (the state at a given time is determined by the initial state and by the control history during the intervening closed interval) is shown to obey a generalized evolution equation (1.2), where n is such that the state is continuously differentiabie with respect to time whenever the control is of class Cn. |
| format | Article |
| id | doaj-art-84924824c3de4fd1b39d1d54151567a8 |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1984-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-84924824c3de4fd1b39d1d54151567a82025-08-20T02:08:40ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251984-01-017240941110.1155/S0161171284000430On the existence of equations of evolutionJ. Lubliner0Department of Civil Engineering, University of California, Berkeley 94720, California, USAA time-independent, non-autonomous non-linear system governed by a principle of determinism (the state at a given time is determined by the initial state and by the control history during the intervening closed interval) is shown to obey a generalized evolution equation (1.2), where n is such that the state is continuously differentiabie with respect to time whenever the control is of class Cn.http://dx.doi.org/10.1155/S0161171284000430equations of evolutionnonlinear systems. |
| spellingShingle | J. Lubliner On the existence of equations of evolution International Journal of Mathematics and Mathematical Sciences equations of evolution nonlinear systems. |
| title | On the existence of equations of evolution |
| title_full | On the existence of equations of evolution |
| title_fullStr | On the existence of equations of evolution |
| title_full_unstemmed | On the existence of equations of evolution |
| title_short | On the existence of equations of evolution |
| title_sort | on the existence of equations of evolution |
| topic | equations of evolution nonlinear systems. |
| url | http://dx.doi.org/10.1155/S0161171284000430 |
| work_keys_str_mv | AT jlubliner ontheexistenceofequationsofevolution |