Skip to main content
SpringerLink
Log in

Equiasymptotic stability of integral sets

  • Published:
Ukrainian Mathematical Journal Aims and scope

Abstract

We give the definition of the equiasymptotic stability of the integral set of a system of ordinary differential equations and prove several theorems.

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

Similar content being viewed by others

References

  1. V. A. Pliss,Integral Sets of Periodic Systems of Differential Equations [Russian translation], Nauka, Moscow (1977).

    Google Scholar 

  2. A. M. Samoilenko,Elements of the Mathematical Theory of Multifrequency Oscillation [in Russian], Nauka, Moscow (1987).

    Google Scholar 

  3. Yu. A. Mitropol'skii and O. B. Lykova,Integral Manifolds in Nonlinear Mechanics [in Russian], Nauka, Moscow (1973).

    Google Scholar 

  4. N. Rouche, P. Habets, and M. Laloy,Stability Theory by Liapunov 's Direct Method, Springer, New York (1977).

    Google Scholar 

  5. V. V. Rumyantsev and A. S. Oziraner,Stability and Stabilization of Motion with Respect to Part of the Variables [in Russian], Nauka, Moscow (1987).

    Google Scholar 

  6. E. A. Barabashin,Introduction to Stability Theory [in Russian], Nauka, Moscow (1967).

    Google Scholar 

  7. N. G. Chetaev,Stability of Motion [in Russian], Gostekhizdat, Moscow (1955).

    Google Scholar 

  8. N. N. Krasovskii,Some Problems in the Theory of Stability of Motion [in Russian], Fizmatgiz, Moscow (1959).

    Google Scholar 

  9. L. Salvadori, “Sul problema della stabilita asintotica,”Rend. Accad. Naz. Lincei,53, 35–38 (1972).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Applied Mathematics and Mechanics, Ukrainian Academy of Sciences, Donetsk

    A. O. Ignat'ev

Authors
  1. A. O. Ignat'ev
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 47, No. 2, pp. 180–185, February, 1995.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ignat'ev, A.O. Equiasymptotic stability of integral sets. Ukr Math J 47, 212–217 (1995). https://doi.org/10.1007/BF01056712

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01056712

Keywords

Search

Navigation