Journal of Mathematical Sciences

, Volume 230, Issue 5, pp 699–702 | Cite as

Stability of Nonautonomous Difference Equations with Bounded Parameters

Article
  • 2 Downloads

Abstract

For a nonautonomous difference equation with bounded parameters, stability conditions in terms of estimates of the Cauchy function are obtained.

Keywords and phrases

difference equation equation with delay stability Cauchy function 

AMS Subject Classification

39A30 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    D. L. Andrianov, “Boundary-value problems and control problems for linear difference systems with aftereffect,” Izv. Vyssh. Ucheb. Zaved. Ser. Mat. 5, 3–10 (1993).MathSciNetMATHGoogle Scholar
  2. 2.
    S. N. Elaydi, An Introduction to Difference Equations, Springer-Verlag, New York (1999).CrossRefMATHGoogle Scholar
  3. 3.
    A. Yu. Kulikov, “Stability of a linear nonautonomous difference equation with bounded delays,” Izv. Vyssh. Ucheb. Zaved. Ser. Mat., 11, 22–30 (2010).MathSciNetMATHGoogle Scholar
  4. 4.
    A. Yu. Kulikov and V. V. Malygina, “Stability of a linear difference equation and an estimate of its fundamental solution,” Izv. Vyssh. Ucheb. Zaved. Ser. Mat., 12, 30–41 (2011).MathSciNetMATHGoogle Scholar
  5. 5.
    A. Yu. Kulikov and V. V. Malygina, “On the stability of semi-autonomous difference equations,” Izv. Vyssh. Ucheb. Zaved. Ser. Mat., 5, 25–34 (2011).MathSciNetMATHGoogle Scholar
  6. 6.
    V. V. Malygina and K. M. Chudinov, “Asymptotics of solutions of difference equations with delays,” Izv. Vyssh. Ucheb. Zaved. Ser. Mat., 7, 66–82 (2016).MathSciNetMATHGoogle Scholar
  7. 7.
    J. S. Yu, “Asymptotic stability for a linear difference equation with variable delay,” Comp. Math. Appl., 36, No. 10–12, 203–210 (1998).MathSciNetCrossRefMATHGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Perm State UniversityPermRussia

Personalised recommendations