Skip to main content
SpringerLink
Log in

Construction of almost periodic solutions to a linear delay system

  • Published:
Siberian Mathematical Journal Aims and scope Submit manuscript

Abstract

Under study is the problem of constructing almost periodic solutions to a complicated inhomogeneous linear delay system.

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. Barbashin E. A., An Introduction to Stability Theory [Russian], Nauka, Moscow (1967).

    Google Scholar 

  2. Grebenshchikov B. G. and Novikov S. I., “Instability of systems with linear delay reducible to singularly perturbed ones,” Russian Math. (Iz. VUZ), 54, No. 2, 1–10 (2010).

    Article  MathSciNet  MATH  Google Scholar 

  3. Bellman R. E. and Cooke K. L., Differential-Difference Equations, Academic Press, New York etc. (1963).

    MATH  Google Scholar 

  4. Mitropol’skiĭ Yu. A., The Averaging Principle in Nonlinear Mechanics [Russian], Naukova Dumka, Kiev (1971).

    Google Scholar 

  5. Grebenshchikov B. G., “Existence of an asymptotically periodic solution to a system with delay,” Izv. Ural’sk. Gos. Univ., Ser. Matem., Mekhan., 26, No. 5, 44–54 (2003).

    MathSciNet  MATH  Google Scholar 

  6. Grebenshchikov B. G., “The asymptotic stability of a nonstationary system with delay,” Russian Math. (Iz. VUZ), No. 8, 20–28 (2013).

    Article  MathSciNet  MATH  Google Scholar 

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

    MATH  Google Scholar 

  8. Gerashchenko E. I. and Gerashchenko S. M., Method for the Separation of Motions and Nonlinear System Optimization [Russian], Nauka, Moscow (1975).

    MATH  Google Scholar 

  9. Grebenshchikov B. G. and Rozhkov V. I., “Almost periodic solutions to one quasilinear system with linear delay,” Sib. Math. J., 35, No. 4, 683–688 (1994).

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Ural State University, Ekaterinburg, Russia

    B. G. Grebenshchikov

Authors
  1. B. G. Grebenshchikov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to B. G. Grebenshchikov.

Additional information

Ekaterinburg. Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 57, No. 5, pp. 1012–1020, September–October, 2016; DOI: 10.17377/smzh.2016.57.507.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Grebenshchikov, B.G. Construction of almost periodic solutions to a linear delay system. Sib Math J 57, 788–795 (2016). https://doi.org/10.1134/S0037446616050074

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0037446616050074

Keywords

Search

Navigation