Necessary and sufficient conditions for global-in-time existence of solutions of ordinary, stochastic, and parabolic differential equations
We derive necessary and sufficient conditions for global-in-time existence of solutions of ordinary differential, stochastic differential, and parabolic equations. The conditions are formulated in terms of complete Riemannian metrics on extended phase spaces (conditions with two-sided estimates) or...
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| Format: | Article |
| Language: | English |
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Wiley
2006-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/AAA/2006/39786 |
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| _version_ | 1832545554503041024 |
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| author | Yuri E. Gliklikh |
| author_facet | Yuri E. Gliklikh |
| author_sort | Yuri E. Gliklikh |
| collection | DOAJ |
| description | We derive necessary and sufficient conditions for global-in-time
existence of solutions of ordinary differential, stochastic
differential, and parabolic equations. The conditions are
formulated in terms of complete Riemannian metrics on extended
phase spaces (conditions with two-sided estimates) or in terms of
derivatives of proper functions on extended phase spaces
(conditions with one-sided estimates). |
| format | Article |
| id | doaj-art-0c46c6261af348bca4e6d75bbd158ea7 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2006-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-0c46c6261af348bca4e6d75bbd158ea72025-02-03T07:25:20ZengWileyAbstract and Applied Analysis1085-33751687-04092006-01-01200610.1155/AAA/2006/3978639786Necessary and sufficient conditions for global-in-time existence of solutions of ordinary, stochastic, and parabolic differential equationsYuri E. Gliklikh0Faculty of Mathematics, Voronezh State University, Universitetskaya pl. 1, Voronezh 394006, RussiaWe derive necessary and sufficient conditions for global-in-time existence of solutions of ordinary differential, stochastic differential, and parabolic equations. The conditions are formulated in terms of complete Riemannian metrics on extended phase spaces (conditions with two-sided estimates) or in terms of derivatives of proper functions on extended phase spaces (conditions with one-sided estimates).http://dx.doi.org/10.1155/AAA/2006/39786 |
| spellingShingle | Yuri E. Gliklikh Necessary and sufficient conditions for global-in-time existence of solutions of ordinary, stochastic, and parabolic differential equations Abstract and Applied Analysis |
| title | Necessary and sufficient conditions for global-in-time existence of solutions of ordinary, stochastic, and parabolic differential equations |
| title_full | Necessary and sufficient conditions for global-in-time existence of solutions of ordinary, stochastic, and parabolic differential equations |
| title_fullStr | Necessary and sufficient conditions for global-in-time existence of solutions of ordinary, stochastic, and parabolic differential equations |
| title_full_unstemmed | Necessary and sufficient conditions for global-in-time existence of solutions of ordinary, stochastic, and parabolic differential equations |
| title_short | Necessary and sufficient conditions for global-in-time existence of solutions of ordinary, stochastic, and parabolic differential equations |
| title_sort | necessary and sufficient conditions for global in time existence of solutions of ordinary stochastic and parabolic differential equations |
| url | http://dx.doi.org/10.1155/AAA/2006/39786 |
| work_keys_str_mv | AT yuriegliklikh necessaryandsufficientconditionsforglobalintimeexistenceofsolutionsofordinarystochasticandparabolicdifferentialequations |