Delay difference equations in Banach spaces

Rigoberto Medina; M. I. Gil'

doi:10.1080/10236190512331333860

Delay difference equations in Banach spaces

Rigoberto Medina, M. I. Gil'

Department of Mathematics

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

4 Scopus citations

Abstract

We derive explicit stability conditions for semilinear delay difference equations in a Banach space. It is assumed that the nonlinearities of the considered equations satisfy the local Lipschitz condition. By virtue of the new estimates for the norm of functions of quasi-Hermitian operators, explicit stability and boundedness conditions are given. Applications to infinite dimensional delay difference systems are discussed.

Original language	English
Pages (from-to)	889-895
Number of pages	7
Journal	Journal of Difference Equations and Applications
Volume	11
Issue number	10
DOIs	https://doi.org/10.1080/10236190512331333860
State	Published - 1 Sep 2005

Keywords

Abstract difference equations
Boundedness
Delay
Lipschitz condition

ASJC Scopus subject areas

Analysis
Algebra and Number Theory
Applied Mathematics

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10.1080/10236190512331333860

Cite this

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title = "Delay difference equations in Banach spaces",

abstract = "We derive explicit stability conditions for semilinear delay difference equations in a Banach space. It is assumed that the nonlinearities of the considered equations satisfy the local Lipschitz condition. By virtue of the new estimates for the norm of functions of quasi-Hermitian operators, explicit stability and boundedness conditions are given. Applications to infinite dimensional delay difference systems are discussed.",

keywords = "Abstract difference equations, Boundedness, Delay, Lipschitz condition",

author = "Rigoberto Medina and Gil', {M. I.}",

note = "Funding Information: The research of R. Medina was supported by Fondecyt Chile under Grant No. 1.030.460 and M.I. Gil{\textquoteright} was supported by Kamea fund of Israel.",

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AU - Medina, Rigoberto

AU - Gil', M. I.

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PY - 2005/9/1

Y1 - 2005/9/1

N2 - We derive explicit stability conditions for semilinear delay difference equations in a Banach space. It is assumed that the nonlinearities of the considered equations satisfy the local Lipschitz condition. By virtue of the new estimates for the norm of functions of quasi-Hermitian operators, explicit stability and boundedness conditions are given. Applications to infinite dimensional delay difference systems are discussed.

AB - We derive explicit stability conditions for semilinear delay difference equations in a Banach space. It is assumed that the nonlinearities of the considered equations satisfy the local Lipschitz condition. By virtue of the new estimates for the norm of functions of quasi-Hermitian operators, explicit stability and boundedness conditions are given. Applications to infinite dimensional delay difference systems are discussed.

KW - Abstract difference equations

KW - Boundedness

KW - Delay

KW - Lipschitz condition

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U2 - 10.1080/10236190512331333860

DO - 10.1080/10236190512331333860

M3 - Article

AN - SCOPUS:27344437664

SN - 1023-6198

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SP - 889

EP - 895

JO - Journal of Difference Equations and Applications

JF - Journal of Difference Equations and Applications

IS - 10

ER -

Delay difference equations in Banach spaces

Abstract

Keywords

ASJC Scopus subject areas

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