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Ultimate behaviour of a class of stochastic differential systems dependent on a parameter

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Stability of Stochastic Dynamical Systems

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 294))

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References

  1. Y.A.Mitropolskiy and V.G.Kolomiets, "Application of the averaging principle to the investigation of the influence of random effects on oscillatory systems" (in Russian). Mathematical Physics (Edited by Y.A.Mitropolskiy), Kiev, p.146,(1967)

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  2. R.Z. Khas'minskiy, "On stochastic processes defined by differential equations with a small parameter" (in English). Th.Prob.Appls. 11,211(1966)

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  3. P.R. Sethna and T.J. Moran, "Some nonlocal results for weakly nonlinear dynamical systems". Quarterly of Applied Mathematics Vol. XXvI,No.2. p.175–185 (1968)

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  4. J.K.Hale, "Ordinary Differential Equations" Wiley-Interscience (1969). Chap.IV.

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  5. S. Diliberto, "New results on periodic surfaces and the averaging principle". U.S.Japanese Conference on Integral and Differential Equations,1966.

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  6. N.M. Bogoliuboff and Yu.A. Mitropolskiy, "Asymptotic methods in the theory of nonlinear oscillations". Gordon and Breach, New York, 1962, Chapter 6.

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  7. A.Papoulis, "Probability, Random Variables and Stochastic Processes". McGraw Hill (1965),Chapter 10.

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  8. Reference 7. Chapter 13.

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Authors and Affiliations

  1. Department of Aerospace Engineering and Mechanics, University of Minnesota, USA

    P. R. Sethna

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  1. P. R. Sethna
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© 1972 Springer-Verlag

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Sethna, P.R. (1972). Ultimate behaviour of a class of stochastic differential systems dependent on a parameter. In: Stability of Stochastic Dynamical Systems. Lecture Notes in Mathematics, vol 294. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0064947

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  • DOI: https://doi.org/10.1007/BFb0064947

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06050-5

  • Online ISBN: 978-3-540-38000-9

  • eBook Packages: Springer Book Archive

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