Skip to main content
SpringerLink
Log in

On the reducibility of linear differential operators with unbounded operator coefficients

  • Published:
Ukrainian Mathematical Journal Aims and scope

Abstract

Results on the reducibility of linear differential operators with unbounded operator coefficients to differential operators with a simpler structure are obtained.

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. Yu. V. Teplinskii, “On the problem of reducibility of countable systems with quasi-periodic coefficients,”Ukr. Mat. Zh.,31, No. 4, 463–465 (1979).

    Google Scholar 

  2. A. M. Samoilenko and Yu. V. Teplinskii,On the Reducibility of Differential Systems in the Space of Bounded Number Sequences [in Russian], Preprint No. 44.89, Institute of Mathematics, Ukrainian Academy of Sciences, Kiev (1989).

    Google Scholar 

  3. A. A. Aksenov, “On the reducibility of linear differential equations in Banach space with quasiperiodic coefficients,”Ukr. Mat. Zh.,41, No. 1, 86–88 (1989).

    Google Scholar 

  4. A. G. Baskakov, “Methods of abstract harmonic analysis in the theory of perturbations of linear operators,”Sib. Mat. Zh. 24, No. 1, 21–39 (1983).

    Google Scholar 

  5. A. G. Baskakov,Harmonic Analysis of Linear Operators [in Russian], Voronezh University, Voronezh (1987).

    Google Scholar 

  6. A. M. Samoilenko, “On the reducibility of systems of linear differential equations with quasiperiodic coefficients,”Ukr. Mat. Zh.,20, No. 2, 279–281 (1968).

    Google Scholar 

  7. A. G. Baskakov, “A theorem on the reducibility of linear differential equations with quasiperiodic coefficients,”Ukr. Mat. Zh.,35, No. 4, 416–421 (1983).

    Google Scholar 

  8. A. M. Samoilenko, “Reducibility of systems of linear differential equations with quasiperiodic coefficients,”Ukr. Mat. Zh.,41, No. 12, 1669–1680 (1989).

    Google Scholar 

  9. N. N. Blinov, “A method of superfast convergence and the reducibility of almost periodic systems,”Differents. Uravn.,24, No. 2, 187–199 (1988).

    Google Scholar 

  10. M. Sh. Birman and M. Z. Solomyak, “Asymptotics of the spectrum of differential equations,” in:VINITI Series in Mathematical Analysis [in Russian], Vol. 14, VINITI, Moscow (1977), pp. 5–58.

    Google Scholar 

  11. Yu. L. Daletskii and M. G. Krein,Stability of Solutions of Differential Equations in Banach Spaces [in Russian], Nauka, Moscow (1970).

    Google Scholar 

  12. M. A. Naimark,Linear Differential Operators [in Russian], Nauka, Moscow (1969).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Voronezh University, Voronezh

    A. G. Baskakov

Authors
  1. A. G. Baskakov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 45, No. 5, pp. 587–595, May, 1993.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Baskakov, A.G. On the reducibility of linear differential operators with unbounded operator coefficients. Ukr Math J 45, 637–646 (1993). https://doi.org/10.1007/BF01058202

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01058202

Keywords

Search

Navigation