Necessary and sufficient conditions for global-in-time existence of solutions of ordinary, stochastic, and parabolic differential equations

Yuri E. Gliklikh

Abstract and Applied Analysis, 2006, vol. 2006, 1-17

Abstract:

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).

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:039786

DOI: 10.1155/AAA/2006/39786

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