Ultimate boundedness and weak recurrence of stochastic evolution equations

Stochastic Analysis and Applications

Volumn 17, Issue 5, 1999, Pages 815-833

  Liu, Ruifeng ^a  

^a MICHIGAN STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033240645     PISSN: 07362994     EISSN: None     Source Type: Journal    
DOI: 10.1080/07362999908809636     Document Type: Article

References (10)

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5. Y. Miyahara, Ultimate Boundedness of the Systems Governed by Stochastic Differential Equations, Nagoya Math. J., 47 (1972), 111-144.
6. E. Pardoux, Stochastic Partial Differential Equations and filtering of diffusion Processes. Stochastic, 3, (1979) 127-167.
7. A. Pazy, Semigroups of Linear Operators and Applications to Partial Differential Equations. Springer-Verlag, New York, 1983.
8. B. L. Rosovskii, Stochastic Evolution Systems, Kluwer Academic Publishers, Boston, 1990
9. W. M. Wonham, Lyapunov Criteria for Weak Stochastic Stability, J. Diff. Eq., 2 (1966), 195-207.
10. M. Zakai, A Lyapunov Criterion for the Existence of Stationary Probability Distributions for Systems Perturbed by Noise, SIAM J. Control, 7 (1969), 390-397.