Journal of Mathematical Sciences

, Volume 83, Issue 4, pp 477–484 | Cite as

Properties of the emden-fowler equation under stochastic disturbances that depend on parameters

  • F. S. Berezovskaya


Invariant Measure Lyapunov Function Phase Portrait Stochastic Differential Equation Degenerate Parabolic Equation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Literature Cited

  1. 1.
    R. Bellman,Stability of Solutions of Differential Equations [Russian translation], Inostr. Lit., Moscow (1953).zbMATHGoogle Scholar
  2. 2.
    C. Bandle and L. A. Pelletier, “Nonlinear elliptic problems with critical exponent in shrinking annuli,”Math. Ann.,280, 1–19 (1988).MathSciNetCrossRefzbMATHGoogle Scholar
  3. 3.
    F. S. Berezovskaya, “Emden-Fowler equation. A qualitative study,” Preprint, Pushchino, Deposited at VINITI No. 8070-74 (1974).Google Scholar
  4. 4.
    M. I. Gikhman and A. V. Skorokhod,Stochastic Differential Equations [in Russian], Naukova Dumka, Kiev (1968).zbMATHGoogle Scholar
  5. 5.
    R. Z. Khasminsky,Stability of Systems of Differential Equations under Random Parametric Disturbances [in Russian], Nauka, Moscow (1969).Google Scholar
  6. 6.
    V. V. Bolotin,Random Oscillations of Elastic Systems [in Russian], Nauka, Moscow (1979).zbMATHGoogle Scholar
  7. 7.
    M. F. Dimentberg,Nonlinear Stochastic Problems of Mechanical Oscillations [in Russian], Nauka, Moscow (1980).zbMATHGoogle Scholar
  8. 8.
    H. J. Kushner, “The Cauchy problem for a class of degenerate parabolic equations and asymptotic properties of related diffusion processes,”J. Diff. Eq.,6, No. 2, 209–231 (1971).MathSciNetCrossRefzbMATHGoogle Scholar
  9. 9.
    T. K. Caughey, “Nonlinear theory of random vibrations,”Adv. Appl. Mech.,11, 209–253 (1971).CrossRefGoogle Scholar

Copyright information

© Plenum Publishing Corporation 1997

Authors and Affiliations

  • F. S. Berezovskaya

There are no affiliations available

Personalised recommendations