Skip to main content
SpringerLink
Log in

Periodic solutions of a linear system of differential equations with a degenerate matrix acting on the derivatives

  • Brief Communications
  • 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.

Literature cited

  1. Yu. S. Bogdanov and G. N. Chebotarev, “Matrices which commute with their derivatives,” Izv. Vuzov, Matematika, No. 4 (1959).

  2. Yu. S. Bogdanov, “Transformation of a variable matrix to canonical form,” Dokl. Akad. Nauk BSSR,7, No. 3 (1963).

  3. Y. Sibuya, “Some global properties of matrices of functions of one variable,” Math. Ann.,161, No. 1 (1965).

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

    Google Scholar 

  5. A. M. Samoilenko, “Quasiperiodic solutions of a system of linear algebraic equations with quasiperiodic coefficients,” in: Analytic Research Methods for Solutions of Nonlinear Differential Equations [in Russian], Izd. Inst. Matem. Akad. Nauk UkrSSR, Kiev (1974).

    Google Scholar 

  6. N. N. Bogolyubov and Yu. A. Mitropol'skii, Asymptotic Methods in the Theory of Nonlinear Vibrations [in Russian], Fizmatgiz, Moscow (1963).

    Google Scholar 

  7. N. N. Bogolyubov, Yu. A. Mitropol'skii, and A. M. Samoilenko, A Method of Accelerated Convergence in Nonlinear Signaling [in Russian], Naukova Dumka, Kiev (1969).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Kiev State University, USSR

    Yu. D. Shlapak

Authors
  1. Yu. D. Shlapak
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 27, No. 1, pp. 137–140, January–February, 1975.

The author wishes to thank A. M. Samoilenko for posing this problem to him and for his constant attention to the work.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Shlapak, Y.D. Periodic solutions of a linear system of differential equations with a degenerate matrix acting on the derivatives. Ukr Math J 27, 114–116 (1975). https://doi.org/10.1007/BF01085854

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01085854

Keywords

Search

Navigation