Skip to main content
Log in

On the solution of a quasilinear differential system with periodic coefficients

  • Published:
Ukrainian Mathematical Journal Aims and scope

Abstract

The existence of a partial solution is proved for a quasilinear differential system whose coefficients are representable by a trigonometric series with slowly varying coefficients and frequency. The solution obtained has the same structure.

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.

Similar content being viewed by others

References

  1. Yu. A. Mitropol'skii, A. M. Samoilenko, and V. L. Kulik,Investigation of the Dichotomy of Linear Systems of Differential Equations by Using the Lyapunov Functions [in Russian], Naukova Dumka, Kiev (1990).

    Google Scholar 

  2. A. M. Samoilenko and B. P. Tkach,Numerical-Analytic Methods in the Theory of Periodic Solutions of Partial Differential Equations [in Russian], Naukova Dumka, Kiev (1992).

    Google Scholar 

  3. A. V. Kostin and S. A. Shchegolev, “A class of solutions of a quasilinear differential system with slowly varying parameters,”Ukr. Mat.Zh.,41, No. 1, 101–103 (1989).

    Google Scholar 

  4. S. A. Shchegolev, “A class of solutions of a multifrequency quasilinear system of differential equations,”Ukr. Mat. Zh.,42, No. 9, 1294–1296(1990).

    Google Scholar 

  5. S. A. Shchegolev,Investigation of a Special Class of Solutions of a Linear Equation with Periodic Coefficients [in Russian], Deposited at VINITI 25.07.91, No. 3205-B91, VINITI, Moscow (1991).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 45, No. 8, pp. 1157–1161, August, 1993.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Shchegolev, S.A. On the solution of a quasilinear differential system with periodic coefficients. Ukr Math J 45, 1291–1296 (1993). https://doi.org/10.1007/BF01070977

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01070977

Keywords

Navigation