Skip to main content
SpringerLink
Log in

Sufficient conditions for solvability of a linear differential equation with large parameter when the characteristic equation has a multiple root

  • 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. M. G. Krein, Lectures on Theory of Stability of Solutions of Differential Equations in Banach Space [in Russian], Izd. Akad. Nauk Ukr. SSR, Kiev (1964).

    Google Scholar 

  2. Yu. L. Daletskii, “On differential equations in Hilbert space,” Ukr. Mat. Zh.,2, No. 4, 71–91 (1950).

    Google Scholar 

  3. Yu. L. Daletskii and M. G. Krein, Stability of Solutions of Differential Equations in Banach Space, Amer. Math. Soc. (1974).

  4. S. F. Feshchenko, N. I. Shkil', and L. D. Nikolenko, Asymptotic Methods in Theory of Linear Differential Equations [in Russian], Naukova Dumka, Kiev (1966).

    Google Scholar 

  5. V. I. Smirnov, A Course of Higher Mathematics, Vol. 3, Part 1, Pergamon.

Download references

Author information

Authors and Affiliations

  1. Voronezh State University, USSR

    G. S. Gracheva

Authors
  1. G. S. Gracheva
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 30, No. 4, pp. 512–516, July–August, 1978.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gracheva, G.S. Sufficient conditions for solvability of a linear differential equation with large parameter when the characteristic equation has a multiple root. Ukr Math J 30, 395–399 (1978). https://doi.org/10.1007/BF01085864

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01085864

Keywords

Search

Navigation