Skip to main content
SpringerLink
Log in

Bilateral bounded and almost-periodic solutions of certain systems of differential equations with a deviating argument

  • 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

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

Literature cited

  1. B. P. Demidovich, Lectures on the Mathematical Theory of Stability [in Russian], Nauka, Moscow (1967).

    Google Scholar 

  2. B. P. Demidovich, “Forced oscillations of a quasilinear system in the presence of a rapidly varying external force,” Prikl. Matem, i Mekh.25, No. 4 (1961).

  3. S. N. Shimanov, “On the theory of oscillations of quasilinear systems with a constant lag,” Avtomat. i Telemekh.,21, No. 6 (1960).

  4. S. N. Shimanov, “On the theory of periodic oscillations of quasilinear nonautonomous periodic systems with periodic lags,” Proceedings of the Fifth International Conference on Nonlinear Oscillations [in Russian], Vol. I, Kiev (1970).

  5. Rou-hwai Wang, “On the existence of bounded solutions of nonlinear difference-differential equations,” Sci. Record (N.S.),2, No. 1, 23–26 (1958).

    Google Scholar 

  6. A. Halanay, “Periodic and almost-periodic solutions of systems of differential equations with a lagging argument,” Rev. Math. Pur. et Appl. Acad. RPR,4, No. 4, 685–691 (1959).

    Google Scholar 

  7. A. M. Rodionov, “Quasilinear systems of neutral type with a deviating argument,” Prikl. Matem. i Mekh.,24, No. 6 (1960).

  8. Yu. A. Ryabov, “Certain asymptotic properties of linear systems with a small time lag,” Proceedings Seminar on the Theory of Differential Equations with Deviating Argument [in Russian], No. 3 (1965).

  9. J. L. Massera and J. J. Schäffer, Linear Differential Equations and Function Spaces, Academic Press, Inc., New York (1966).

    Google Scholar 

  10. M. A. Krasnosel'skii, V. Sh. Burd, and Yu. S., Kolesov, Nonlinear Almost-Periodic Oscillations [in Russian], Nauka, Moscow (1970).

    Google Scholar 

  11. V. Sh. Burd and Yu. S. Kolesov, “On the dichotomy of solutions of functional-differential equations with almost-periodic coefficients,” Dokl. Akad. Nauk SSSR,195, No. 6 (1970).

  12. C. V. Coffman and J. J. Schäffer, “Linear differential equations with delays: admissibility and conditional exponential stability,” J. Diff. Equat., 9, No. 3, 521–535 (1971).

    Google Scholar 

  13. G. Pecelli, “Dichotomies for linear functional-differential equations,” J. Diff. Equat.,9, No. 3, 555–579 (1971).

    Google Scholar 

  14. Yu. A. Ryabov, “The small parameter method in the theory of periodic solutions of differential equations with a lagging argument,” Proceedings Seminar on the Theory of Differential Equations with Deviating Argument [in Russian], No. 1 (1962).

Download references

Author information

Authors and Affiliations

  1. Moscow Automotive-Transportation Institute, USSR

    D. A. Vzovskii

Authors
  1. D. A. Vzovskii
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 25, No. 6, pp. 738–746, November–December, 1973.

We thank S. B. Norkin for a number of useful comments which we made use of in writing the paper.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Vzovskii, D.A. Bilateral bounded and almost-periodic solutions of certain systems of differential equations with a deviating argument. Ukr Math J 25, 610–617 (1973). https://doi.org/10.1007/BF01090793

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01090793

Keywords

Search

Navigation