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Zhogal S. P., Zhogal S. I. On integration of Kolmogorov - Fokker - Planck equations for non-autonomous quasilinear systems having parametric random effect. Izvestiya VUZ. Applied Nonlinear Dynamics, 1996, vol. 4, iss. 6, pp. 92-99.

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Language: 
Russian
Heading: 
Methodical Papers on Nonlinear Dynamics
Article type: 
Article
UDC: 
517.9:537.8

On integration of Kolmogorov - Fokker - Planck equations for non-autonomous quasilinear systems having parametric random effect

Autors: 
Zhogal Sergei Petrovich, Francysk Skaryna Gomel State University
Zhogal Svetlana Ivanovna, Belarusian State University of Transport
Abstract: 

The sufficient conditions of analytic integration of Kolmogorov - Fokker - Planck equations for the quasilinear oscillatory systems with different types of external periodic forces and random disturbances of parameters are investigated in this paper.

Key words: 
-
Reference: 
  1. Kolomiets VG. About averaging in Stochastic Ito equations. Mathematical physics and nonlinear mechanics. 1987;7(41):1.
  2. Mitropolskii YuА, Nguen Van Dao, Nguen Dong An. Nonlinear Oscillations in Systems of Arbitrary Order. Kiev: Naukova dumka; 1992. 344 p.
  3. Landa PS. Autooscillations in Systems with a Finite Number of Degrees of Freedom. М.: Nauka; 1980. 360 p.
  4. Rubanik VP. Oscillations of Quasi-Linear Systems with Delay. М.: Nauka; 1969. 288 p.
  5. Stratonovich RL. Selected issues of the theory of fluctuations in radio engineering. М.: Sovetskoe radio; 1961. 560 p.
  6. Zhogal SI. The sufficient conditions of analytic integration of Kolmogorov — Fokker — Planck equations for the quasilinear oscillatory system s with different types of external periodic forces and unparametric random effect. Bulletin of the Belarusian State University. Physics, Mathematics, Mechanics. 1995;1:62-66.
  7. Dimentberg МF. Nonlinear Stochastic Problems of Mechanical Vibrations. M.: Nauka; 1980. 368 p.
  8. Nguen Dong An. The Mutual Influence of Various Types of Random and Periodic Excitement on Oscillatory Nonlinear Systems. Abstract Doctoral Thesis. Kiev; 1986. 32 p.
Received: 
04.12.1996
Accepted: 
14.03.1997
Published: 
08.04.1997
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