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Exit problem for infinite dimensional systems

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Stochastic Partial Differential Equations and Applications

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1236))

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References

  1. 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.

    Article  MathSciNet  MATH  Google Scholar 

  2. M. Freidlin and A. Wentzell, On small perturbations of dynamical systems, Russian Math. Surveys 25(1970), pp. 1–55.

    MATH  Google Scholar 

  3. M. Freidlin and A. Wentzell, Random Perturbations of Dynamical Systems, Springer Verlag, Berlin, New York, 1984.

    Book  MATH  Google Scholar 

  4. I.I. Gikhman and A.W. Skorokhad, Theory of Stochastic Processes, vol. II, Nauka, Moscow, 1973.

    Google Scholar 

  5. J. Hale, Theory of Functional Differential Equations, Springer Verlag, New York, Berlin, 1977.

    Book  MATH  Google Scholar 

  6. N.D. Hayes, Roots of the transcendental equation associated with a certain differential difference equation, J. London Math. Soc. 25(1950), pp. 226–232.

    Article  MathSciNet  MATH  Google Scholar 

  7. G. Webb, Autonomous nonlinear functional differential equations and nonlinear semigroups, J. Math. Ana. Appl. 46(1974), pp. 1–12.

    Article  MathSciNet  MATH  Google Scholar 

  8. J. Zabczyk, Structural properties and limit behaviour of linear stochastic systems in Hilbert spaces, Banach Center Publications, Volume 14, Warsaw, 1985.

    Google Scholar 

  9. J. Zabczyk, Exit problem and control theory, Systems and Control Letters, 6(1985), pp. 165–172.

    Article  MathSciNet  MATH  Google Scholar 

  10. J. Zabczyk, Stability under small perturbations, Proceedings of the 3rd Bad Honef Conference on Stochastic Systems, Bonn 1985.

    Google Scholar 

  11. J. Zabczyk, Stable dynamical systems under small perturbations, Preprint IM PAN, No 353, Warsaw, 1985.

    Google Scholar 

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Giuseppe Da Prato Luciano Tubaro

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© 1987 Springer-Verlag

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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

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  • DOI: https://doi.org/10.1007/BFb0072894

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-17211-6

  • Online ISBN: 978-3-540-47408-1

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