Skip to main content
SpringerLink
Log in

On the contraction principle for a differential equation with unbounded operator coefficient

  • 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.

Institutional subscriptions

Literature cited

  1. O. B. Lykova, “The contraction principle in Banach space,” Ukrainsk. Matem. Zh.,23, No. 4(1971).

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

    Google Scholar 

  3. V. D. Denkova, “Investigation of the boundedness of solutions of differential equations with a lag in Banach space,” Author's Abstract of Candidate's Dissertation, Institute of Mathematics, Academy of Sciences, Ukrain. SSR, Kiev (1974).

    Google Scholar 

  4. O. B. Lykova, “On equations describing flows on integral manifolds,” in: Asymptotic and Qualitative Methods in the Theory of Nonlinear Oscillations [in Russian], Izd. Inst. Matem. Akad. Nauk Ukrain. SSR, Kiev (1971).

    Google Scholar 

  5. A. M. Lyapunov, General Problems of the Stability of Motion [in Russian], Izd. Akad. Nauk SSSR, Moscow-Leningrad (1950).

    Google Scholar 

  6. V. A. Pliss, “Contraction principle in the theory of stability of motion,” Izv. Akad. Nauk SSSR, Ser. Matem.,28, No. 6 (1964).

  7. S. G. Krein, Linear Differential Equations in Banach Space [in Russian], Nauka, Moscow (1967).

    Google Scholar 

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

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Mathematics, Academy of Sciences, Ukrainian SSR, Ukraine

    O. B. Lykova

Authors
  1. O. B. Lykova
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 27, No. 2, pp. 240–243, March–April, 1975.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lykova, O.B. On the contraction principle for a differential equation with unbounded operator coefficient. Ukr Math J 27, 192–194 (1975). https://doi.org/10.1007/BF01090004

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01090004

Keywords

Search

Navigation