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Stochastic stability of a class of nonlinear differential equations of ito type

โœ Scribed by V. A. Brusin; V. A. Ugrinovskii


Publisher
SP MAIK Nauka/Interperiodica
Year
1988
Tongue
English
Weight
944 KB
Volume
28
Category
Article
ISSN
0037-4466

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โœ Michael Frankel; Victor Roytburd ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 210 KB

We study a class of nonlinear evolutionary equations generated by a pseudo-differential operator with the elliptic principal symbol and with nonlinearities of the form G(u x ) where cฮท 2 โ‰ค G(ฮท) โ‰ค Cฮท 2 for large |ฮท|. We demonstrate existence of a universal absorbing set, and a compact attractor, and