Skip to main content
Log in

Reduction of nonlinear integro-differential equations in Banach space to special form

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

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.

Literature cited

  1. Yu. A. Mitropol'skii and O. B. Lykova, Lectures on the Method of Integral Manifolds [in Russian], Izd. Inst. Matem. AN UkrSSR, Kiev (1968).

    Google Scholar 

  2. N. N. Bogolyubov and Yu. A. Mitropol'skii, Asymptotic Methods in the Theory of Nonlinear Oscillations [in Russian], Fizmatgiz, Moscow (1963).

    Google Scholar 

  3. O. B. Lykova, “Behavior of solutions of a system of differential equations in the neighborhood of closed orbits,” UMZh,9 No. 4 (1957).

  4. A. N. Filatov, Averaging in Differential and Integro-Differential Equations, Fan, Tashkent (1967).

    Google Scholar 

  5. A. N. Filatov, “Averaging in a system of integro-differential equations over an infinite interval,” DAN UzbSSR, No. 9 (1965).

  6. A. A. Ilyushin, G. S. Larionov, and A. N. Filatov, “Averaging in systems of nonlinear integrodifferential equations,” DAN SSSR,188, No. 1 (1969).

  7. A. N. Filatov and L. I. Talipova, “A modification of averaging in integro-differential equations,” DAN SSSR,192, No. 4 (1970).

  8. M. G. Krein, Lectures on the Theory of Stability of Solutions of Differential Equations in Banach Space [in Russian], Izd. Inst. Matem. AN UkrSSR, Kiev (1964).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 23, No. 3, pp. 410–415, May–June, 1971.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Melikidze, T.V. Reduction of nonlinear integro-differential equations in Banach space to special form. Ukr Math J 23, 350–354 (1971). https://doi.org/10.1007/BF01085362

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01085362

Keywords

Navigation