Necessary and sufficient conditions for global-in-time existence of solutions of ordinary, stochastic, and parabolic differential equations
<p>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 estim...
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| Format: | Article |
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| Language: | English |
| Published: |
Wiley
2006-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://www.hindawi.com/GetArticle.aspx?doi=10.1155/AAA/2006/39786 |
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| collection | DOAJ |
| description | <p>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).</p> |
| format | Article |
| id | doaj-art-6a2c8e546fb24deb821a4d55e8209798 |
| institution | Kabale University |
| issn | 1085-3375 |
| language | English |
| publishDate | 2006-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-6a2c8e546fb24deb821a4d55e82097982025-02-03T01:11:21ZengWileyAbstract and Applied Analysis1085-33752006-01-012006Necessary and sufficient conditions for global-in-time existence of solutions of ordinary, stochastic, and parabolic differential equations<p>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).</p>http://www.hindawi.com/GetArticle.aspx?doi=10.1155/AAA/2006/39786 |
| spellingShingle | 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://www.hindawi.com/GetArticle.aspx?doi=10.1155/AAA/2006/39786 |