Skip to main content
SpringerLink
Log in

Fluctuations of forced vibrations in a medium with resistance

  • Brief Communications
  • Published:
Ukrainian Mathematical Journal Aims and scope

Abstract

For a differential oscillation equation with coefficients perturbed by Gaussian delta-correlated random processes with a random external force, we obtain closed moment equations. In a special case, the mathematical expectation and the covariance function are found.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. I. I. Gikhman and A. V. Skorokhod,Stochastic Differential Equations and Their Applications [in Russian], Naukova Dumka, Kiev (1982).

    Google Scholar 

  2. V. I. Klyatskin,Stochastic Waves in Random Inhomogeneous Media [in Russian], Nauka, Moscow (1980).

    Google Scholar 

  3. M. D. Donsker, “On integrals in functional spaces,”Matematika,11, No. 3, 128–154 (1967).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Ukrainian Agricultural Academy, Kiev

    I. I. Kovtun

Authors
  1. I. I. Kovtun
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 45, No. 1, pp. 132–135, January, 1993.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kovtun, I.I. Fluctuations of forced vibrations in a medium with resistance. Ukr Math J 45, 146–150 (1993). https://doi.org/10.1007/BF01062048

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01062048

Keywords

Search

Navigation