Some stability conditions for scalar volterra difference equations

Leonid Berezansky; Małgorzata Migda; Ewa Schmeidel

doi:10.7494/OpMath.2016.36.4.459

Some stability conditions for scalar volterra difference equations

Leonid Berezansky
, Małgorzata Migda
, Ewa Schmeidel

Department of Mathematics

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

18 Scopus citations

Abstract

New explicit stability results are obtained for the following scalar linear difference equation (equation presented) and for some nonlinear Volterra difference equations.

Original language	English
Pages (from-to)	459-470
Number of pages	12
Journal	Opuscula Mathematica
Volume	36
Issue number	4
DOIs	https://doi.org/10.7494/OpMath.2016.36.4.459
State	Published - 1 Jan 2016

Keywords

Boundedness of solutions
Exponential and asymptotic stability
Linear and nonlinear Volterra difference equations

ASJC Scopus subject areas

General Mathematics

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10.7494/OpMath.2016.36.4.459

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title = "Some stability conditions for scalar volterra difference equations",

abstract = "New explicit stability results are obtained for the following scalar linear difference equation (equation presented) and for some nonlinear Volterra difference equations.",

keywords = "Boundedness of solutions, Exponential and asymptotic stability, Linear and nonlinear Volterra difference equations",

author = "Leonid Berezansky and Ma{\l}gorzata Migda and Ewa Schmeidel",

note = "Publisher Copyright: {\textcopyright} AGH University of Science and Technology Press, Krakow 2016.",

year = "2016",

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T1 - Some stability conditions for scalar volterra difference equations

AU - Berezansky, Leonid

AU - Migda, Małgorzata

AU - Schmeidel, Ewa

N1 - Publisher Copyright: © AGH University of Science and Technology Press, Krakow 2016.

PY - 2016/1/1

Y1 - 2016/1/1

N2 - New explicit stability results are obtained for the following scalar linear difference equation (equation presented) and for some nonlinear Volterra difference equations.

AB - New explicit stability results are obtained for the following scalar linear difference equation (equation presented) and for some nonlinear Volterra difference equations.

KW - Boundedness of solutions

KW - Exponential and asymptotic stability

KW - Linear and nonlinear Volterra difference equations

UR - https://www.scopus.com/pages/publications/84962703150

U2 - 10.7494/OpMath.2016.36.4.459

DO - 10.7494/OpMath.2016.36.4.459

M3 - Article

AN - SCOPUS:84962703150

SN - 1232-9274

VL - 36

SP - 459

EP - 470

JO - Opuscula Mathematica

JF - Opuscula Mathematica

IS - 4

ER -

Some stability conditions for scalar volterra difference equations

Abstract

Keywords

ASJC Scopus subject areas

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