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Perron-Type Criterion for Linear Difference Equations With Distributed Delay

dc.contributor.author Alzabut, Jehad O.
dc.contributor.author Abdeljawad, Thabet
dc.date.accessioned 2020-04-10T09:33:05Z
dc.date.accessioned 2025-09-18T13:26:23Z
dc.date.available 2020-04-10T09:33:05Z
dc.date.available 2025-09-18T13:26:23Z
dc.date.issued 2007
dc.description Alzabut, Prof. Dr. Jehad/0000-0002-5262-1138; Abdeljawad, Thabet/0000-0002-8889-3768 en_US
dc.description.abstract It is shown that if a linear difference equation with distributed delay of the form Delta x(n) = Sigma(0)(k=-d)Delta(k)zeta(n + 1, k - 1)x(n + k - 1), n >= 1, satisfies a Perron condition then its trivial solution is uniformly asymptotically stable. Copyright (c) 2007 J. O. Alzabut and T. Abdeljawad. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. en_US
dc.identifier.citation Alzabut; Jehad O.; Abdeljawad, Thabet, "Perron-type criterion for linear difference equations with distributed delay", Discrete Dynamics In Nature And Society, (2007). en_US
dc.identifier.doi 10.1155/2007/10840
dc.identifier.issn 1026-0226
dc.identifier.issn 1607-887X
dc.identifier.scopus 2-s2.0-38849097667
dc.identifier.uri https://doi.org/10.1155/2007/10840
dc.identifier.uri https://hdl.handle.net/20.500.12416/12589
dc.language.iso en en_US
dc.publisher Hindawi Ltd en_US
dc.relation.ispartof Discrete Dynamics in Nature and Society
dc.rights info:eu-repo/semantics/openAccess en_US
dc.title Perron-Type Criterion for Linear Difference Equations With Distributed Delay en_US
dc.title Perron-type criterion for linear difference equations with distributed delay tr_TR
dc.type Article en_US
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gdc.author.id Alzabut, Prof. Dr. Jehad/0000-0002-5262-1138
gdc.author.id Abdeljawad, Thabet/0000-0002-8889-3768
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gdc.author.wosid Alzabut, Prof. Dr. Jehad/T-8075-2018
gdc.author.wosid Abdeljawad, Thabet/T-8298-2018
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gdc.description.department Çankaya University en_US
gdc.description.departmenttemp [Alzabut, Jehad O.] Prince Sultan Univ, Dept Math, Riyadh 11586, Saudi Arabia; [Abdeljawad, Thabet] Cankaya Univ, Dept Math & Comp Sci, TR-06530 Ankara, Turkey en_US
gdc.description.endpage 12
gdc.description.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
gdc.description.scopusquality Q2
gdc.description.startpage 1
gdc.description.volume 2007 en_US
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gdc.oaire.keywords QA1-939
gdc.oaire.keywords Mathematics
gdc.oaire.keywords Stability of difference equations
gdc.oaire.keywords Perron-type criterion
gdc.oaire.keywords distributed delay
gdc.oaire.keywords uniform asymptotic stability
gdc.oaire.keywords Additive difference equations
gdc.oaire.keywords linear difference equation
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gdc.oaire.sciencefields 0101 mathematics
gdc.oaire.sciencefields 01 natural sciences
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gdc.virtual.author Abdeljawad, Thabet
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