Skip to main content
Log in

On a certain analytic method in the theory of linear differential equations having periodic coefficients and stationary delays of the argument. I

  • Published:
Radiophysics and Quantum Electronics 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. A. Stokes, Proc. Nat. Acad. Sci., Vol. 48, No. 8, 1330 (1962).

    Google Scholar 

  2. S. N. Shimanov, Priklad. Matem. i Mekh.,27, No. 3 (1963).

  3. Khalanai, Certain Problems in Qualitative Theory of Systems Having Delay, Transactions of the International Symposium on Nonlinear Oscillations [in Russian], Izd. AN Ukrainsk SSR (1963).

  4. K. G. Valeev, Priklad. Matem. i Mekh.,26, No. 4 (1962). Linear Differential Equations Having Sinusoidal Coefficients and Stationary Delays of the Argument, Transactions of the International Symposium on Nonlinear Oscillations [in Russian], Izd. AN Ukrainsk. SSR (1963).

  5. A. M. Zverkin, Differential-Difference Equations with Periodic Coefficients, in the Book by R. Bellman and C. Cook.: “Differential-Difference Equations” [Russian translation], Mir, Moscow (1967).

    Google Scholar 

  6. Yu. A. Mitropol'skii and D. J. Martynyuk, Lectures on the Theory of Oscillations of Systems Having Delay [in Russian], Kiev (1969).

  7. W. Hahn, Journ. Math. Anal. Appl.,3, No. 1, 70 (1961).

    Google Scholar 

  8. A. M. Zverkin, On the Completeness of a Certain System of Particular Solutions of a Differential Equation Having Delay and Periodic Coefficients, Transactions of the Seminar on the Theory of Differential Equations Having a Deviating Argument [in Russian], Vol. 2, Moscow (1963).

  9. S. N. Shimanov, Priklad. Matem. i Mekh.,25, No. 6, 992 (1961).

    Google Scholar 

  10. E. N. Rozenvasser, Oscillations of Nonlinear Systems [in Russian], Izd. Nauka, Moscow (1969).

    Google Scholar 

  11. Ya. Z. Tsypkin, Theory of Linear Sampled-Data Systems [in Russian], GIFML, Moscow (1963).

    Google Scholar 

  12. V. I. Smirnov, Course in Higher Mathematics [in Russian], GITTL, Moscow (1957).

    Google Scholar 

  13. Z. I. Khalilov, Dokl. Akad. Nauk SSSR,54, No. 7, 571 (1946).

    Google Scholar 

  14. S. V. Shilman, Izv. VUZ., Radiofiz., No. 11, 1645 (1969).

    Google Scholar 

  15. É. Gursa, Course in Mathematical Analysis [in Russian], Vol. 3, Part 2, GITTL (1934).

Download references

Authors

Additional information

Gor'kii State University. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 13, No. 3, pp. 1126–1137, August, 1970.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Shil'man, S.V. On a certain analytic method in the theory of linear differential equations having periodic coefficients and stationary delays of the argument. I. Radiophys Quantum Electron 13, 874–883 (1970). https://doi.org/10.1007/BF01030919

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01030919

Keywords

Navigation