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

  • P. R. Sethna
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 294)

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References

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    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)Google Scholar
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    R.Z. Khas'minskiy, "On stochastic processes defined by differential equations with a small parameter" (in English). Th.Prob.Appls. 11,211(1966)MathSciNetCrossRefGoogle Scholar
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    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)MathSciNetzbMATHGoogle Scholar
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    J.K.Hale, "Ordinary Differential Equations" Wiley-Interscience (1969). Chap.IV.Google Scholar
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    S. Diliberto, "New results on periodic surfaces and the averaging principle". U.S.Japanese Conference on Integral and Differential Equations,1966.Google Scholar
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    N.M. Bogoliuboff and Yu.A. Mitropolskiy, "Asymptotic methods in the theory of nonlinear oscillations". Gordon and Breach, New York, 1962, Chapter 6.Google Scholar
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    A.Papoulis, "Probability, Random Variables and Stochastic Processes". McGraw Hill (1965),Chapter 10.Google Scholar
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    Reference 7. Chapter 13.Google Scholar

Copyright information

© Springer-Verlag 1972

Authors and Affiliations

  • P. R. Sethna
    • 1
  1. 1.Department of Aerospace Engineering and MechanicsUniversity of MinnesotaUSA

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