Skip to main content
SpringerLink
Log in

On the Residual Uniform Stability of Linear Systems with Unbounded Coefficients

  • Published:
Journal of Mathematical Sciences Aims and scope Submit manuscript

Abstract

It is shown that there exist linear nonautonomous systems of any dimension that have unbounded coefficients and possess the properties of residual uniform stability and asymptotic stability, but are not uniformly stable.

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. B. P. Demidovich, Lectures on the Mathematical Theory of Stability [in Russian], Nauka, Moscow (1966).

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

Download references

Author information

Authors and Affiliations

  1. Nekrasov Kostroma State University, Kostroma, Russia

    N. L. Margolina

Authors
  1. N. L. Margolina
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to N. L. Margolina.

Additional information

Translated from Trudy Seminara imeni I. G. Petrovskogo, No. 30, Part II, pp. 213–220, 2014.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Margolina, N.L. On the Residual Uniform Stability of Linear Systems with Unbounded Coefficients. J Math Sci 210, 245–250 (2015). https://doi.org/10.1007/s10958-015-2562-7

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10958-015-2562-7

Keywords

Search

Navigation