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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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
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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| Summary: | 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). |
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| ISSN: | 1085-3375 1687-0409 |