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

DOI10.1155/AAA/2006/39786zbMath1136.34002OpenAlexW1991529685MaRDI QIDQ2491422

Yuri E. Gliklikh

Publication date: 29 May 2006

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/54044

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Ordinary differential equations and systems with randomness (34F05) Growth and boundedness of solutions to ordinary differential equations (34C11) Generation, random and stochastic difference and differential equations (37H10) Infinite-dimensional random dynamical systems; stochastic equations (37L55)

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Cites Work

• Processus de Markov et desintégrations régulières
• Properties at infinity of diffusion semigroups and stochastic flows via weak uniform covers
• Conditions for global existence of solutions of ordinary differential, stochastic differential, and parabolic equations
• Behavior of diffusion semi-groups at infinity
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