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Remarks on two-parameter stochastic differential equations in Hilbert space

โœ Scribed by T. E. Pyasetskaya


Publisher
Springer US
Year
1991
Tongue
English
Weight
405 KB
Volume
53
Category
Article
ISSN
1573-8795

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Invariant measures for dichotomous stoch
โœ Onno Van Gaans; Sjoerd Verduyn Lunel ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 80 KB

We study existence of invariant measures for semilinear stochastic differential equations in Hilbert spaces. We consider infinite dimensional noise that is white in time and colored in space and we assume that the nonlinearities are Lipschitz continuous. We show that if the equation is dichotomous i