Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
H. Flaschka and M. Leitman, On semigroups of nonlinear operators and the solution of the functional differential equation x(t) = =F(xt), J. Math. Ana. Appl. 49(1975), 649–658.
M. Freidlin and A. Wentzell, On small perturbations of dynamical systems, Russian Math. Surveys 25(1970), pp. 1–55.
M. Freidlin and A. Wentzell, Random Perturbations of Dynamical Systems, Springer Verlag, Berlin, New York, 1984.
I.I. Gikhman and A.W. Skorokhad, Theory of Stochastic Processes, vol. II, Nauka, Moscow, 1973.
J. Hale, Theory of Functional Differential Equations, Springer Verlag, New York, Berlin, 1977.
N.D. Hayes, Roots of the transcendental equation associated with a certain differential difference equation, J. London Math. Soc. 25(1950), pp. 226–232.
G. Webb, Autonomous nonlinear functional differential equations and nonlinear semigroups, J. Math. Ana. Appl. 46(1974), pp. 1–12.
J. Zabczyk, Structural properties and limit behaviour of linear stochastic systems in Hilbert spaces, Banach Center Publications, Volume 14, Warsaw, 1985.
J. Zabczyk, Exit problem and control theory, Systems and Control Letters, 6(1985), pp. 165–172.
J. Zabczyk, Stability under small perturbations, Proceedings of the 3rd Bad Honef Conference on Stochastic Systems, Bonn 1985.
J. Zabczyk, Stable dynamical systems under small perturbations, Preprint IM PAN, No 353, Warsaw, 1985.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1987 Springer-Verlag
About this paper
Cite this paper
Zabczyk, J. (1987). Exit problem for infinite dimensional systems. In: Da Prato, G., Tubaro, L. (eds) Stochastic Partial Differential Equations and Applications. Lecture Notes in Mathematics, vol 1236. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0072894
Download citation
DOI: https://doi.org/10.1007/BFb0072894
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-17211-6
Online ISBN: 978-3-540-47408-1
eBook Packages: Springer Book Archive