Skip to main content
SpringerLink
Log in

On stability of the vector liénard equation with nonstationary perturbations

  • Published:
Siberian Mathematical Journal Aims and scope Submit manuscript

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. E. A. Barbashin, The Lyapunov Functions [in Russian], Nauka, Moscow (1970).

    Google Scholar 

  2. A. M. Lyapunov, The General Problem of Stability of Motion [in Russian], ONTI, Moscow and Leningrad (1935).

    Google Scholar 

  3. I. G. Malkin, “A theorem on stability in the first approximation”, Dokl. Akad. Nauk SSSR,76, No. 6, 783–784 (1951).

    MATH  Google Scholar 

  4. N. N. Krasovskii, “On stability in the first approximation”, Prikl. Mat. Mekh.,19, No. 5, 516–530 (1955).

    Google Scholar 

  5. A. Yu. Aleksandrov, “On asymptotic stability of solutions to systems of nonstationary differential equations with homogeneous right-hand sides”, Dokl. Akad. Nauk,349, No. 3, 295–296 (1996).

    Google Scholar 

  6. A. Yu. Aleksandrov, “To the question of stability with respect to nonlinear approximation”, Sibirsk. Mat. Zh.,38, No. 6, 1203–1210 (1997).

    MATH  Google Scholar 

  7. A. Yu. Aleksandrov, “On stability of the Liénard equation with nonstationary perturbations”, Differentsial'nye Uravneniya,32, No. 5, 702–703 (1996).

    Google Scholar 

  8. V. I. Zubov, The Mathematical Methods for Studying Control Systems [in Russian], Sudpromgiz, Leningrad (1959).

    Google Scholar 

  9. V. I. Zubov, Oscillations and Waves [in Russian], Leningrad Univ., Leningrad (1989).

    MATH  Google Scholar 

  10. A. O. Ignat'ev, “On asymptotic stability for a certain class of nonautonomous systems”, Differentsial'nye Uravneniya,23, No. 12, 2161–2163 (1987).

    MATH  Google Scholar 

  11. N. N. Krasovskiî, Certain Problems of Stability Theory of Motion [in Russian], Fizmatgiz, Moscow (1959).

    Google Scholar 

Download references

Authors
  1. A. Yu. Aleksandrov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

St. Petersburg. Translated fromSibirskiî Matematicheskiî Zhurnal, Vol. 40, No. 5, pp. 977–986, September–October, 1999.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Aleksandrov, A.Y. On stability of the vector liénard equation with nonstationary perturbations. Sib Math J 40, 819–827 (1999). https://doi.org/10.1007/BF02674711

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02674711

Keywords

Search

Navigation