Skip to main content
Log in

Averaging in Volterra set-valued integral equations

  • Published:
Ukrainian Mathematical Journal Aims and scope

Abstract

This paper is devoted to the justification of one averaging method for Volterra integral set-valued equations.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. D. R. Gaidarov and R. K. Ragimkhanov, “On one Hammerstein integral inclusion,”Sib. Mat. Zh.,21, No. 2, 19–24 (1980).

    Google Scholar 

  2. A. I. Bulgakov and L. N. Lyapin, “Some properties of the set of solutions of a Volterra-Hammerstein integral inclusion,”Differents. Uravn.,14, No. 1, 1465–1472(1978).

    Google Scholar 

  3. V. A. Plotnikov,Averaging Method in Problems of Control [in Russian], Lybid', Kiev-Odessa (1992).

    Google Scholar 

  4. O. P. Filatov and M. M. Khapaev, “Averaging of differential inclusions with fast and slow variables,”Mat. Zametki,47, No. 6, 102–109 (1990).

    Google Scholar 

  5. R. J. Aumann, “Integrals of set-valued functions,”J. Math. Anal. Appl.,12, No. 1, 1–12 (1965).

    Google Scholar 

  6. A. F. Filippov, “Classical solutions of differential equations with set-valued right-hand sides,”Vestn. Mosk. Univ., Ser. Mat. Mekh., No. 3, 16–26 (1967).

    Google Scholar 

  7. A. N. Filatov and L. V. Sharova,Integral Inequalities and the Theory of Nonlinear Oscillations [in Russian], Nauka, Moscow (1976).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 47, No. 12, pp. 1622–1626, December, 1995.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Vityuk, A.N. Averaging in Volterra set-valued integral equations. Ukr Math J 47, 1852–1857 (1995). https://doi.org/10.1007/BF01060959

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01060959

Keywords

Navigation