Sufficient conditions for the global stability of nonautonomous higher order difference equations

Leonid Berezansky; Elena Braverman; Eduardo Liz

doi:10.1080/10236190500141050

Sufficient conditions for the global stability of nonautonomous higher order difference equations

Leonid Berezansky, Elena Braverman, Eduardo Liz

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

34 Scopus citations

Abstract

We present some explicit sufficient conditions for the global stability of the zero solution in nonautonomous higher order difference equations. The linear case is discussed in detail. We illustrate our main results with some examples. In particular, the stability properties of the equilibrium in a nonlinear model in macroeconomics is addressed.

Original language	English
Pages (from-to)	785-798
Number of pages	14
Journal	Journal of Difference Equations and Applications
Volume	11
Issue number	9
DOIs	https://doi.org/10.1080/10236190500141050
State	Published - 1 Aug 2005

Keywords

Asymptotic stability
Difference equations
Exponential stability
Nonlinear model

ASJC Scopus subject areas

Analysis
Algebra and Number Theory
Applied Mathematics

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10.1080/10236190500141050

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title = "Sufficient conditions for the global stability of nonautonomous higher order difference equations",

abstract = "We present some explicit sufficient conditions for the global stability of the zero solution in nonautonomous higher order difference equations. The linear case is discussed in detail. We illustrate our main results with some examples. In particular, the stability properties of the equilibrium in a nonlinear model in macroeconomics is addressed.",

keywords = "Asymptotic stability, Difference equations, Exponential stability, Nonlinear model",

author = "Leonid Berezansky and Elena Braverman and Eduardo Liz",

note = "Funding Information: E-mail: maelena@math.ucalgary.ca #Supported in part by M.E.C. (Spain) and FEDER, under project MTM2004-06652-C03-02. Funding Information: *Corresponding author. Tel.: {\th}34-986-812127. Fax: {\th}34-986-812116. E-mail: eliz@dma.uvigo.es §Partially supported by Israeli Ministry of Absorption. E-mail: brznsky@cs.bgu.ac.il kPartially supported by the NSERC Research Grant and the AIF Research Grant.",

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AU - Braverman, Elena

AU - Liz, Eduardo

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PY - 2005/8/1

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N2 - We present some explicit sufficient conditions for the global stability of the zero solution in nonautonomous higher order difference equations. The linear case is discussed in detail. We illustrate our main results with some examples. In particular, the stability properties of the equilibrium in a nonlinear model in macroeconomics is addressed.

AB - We present some explicit sufficient conditions for the global stability of the zero solution in nonautonomous higher order difference equations. The linear case is discussed in detail. We illustrate our main results with some examples. In particular, the stability properties of the equilibrium in a nonlinear model in macroeconomics is addressed.

KW - Asymptotic stability

KW - Difference equations

KW - Exponential stability

KW - Nonlinear model

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JF - Journal of Difference Equations and Applications

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Sufficient conditions for the global stability of nonautonomous higher order difference equations

Abstract

Keywords

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