Halanay Type Inequalities on Time Scales With Applications

dc.contributor.author Adıvar, Murat
dc.contributor.author Bohner, Elvan Akin
dc.date.accessioned 2023-06-16T14:11:17Z
dc.date.available 2023-06-16T14:11:17Z
dc.date.issued 2011
dc.description.abstract This paper aims to introduce Halanay type inequalities on time scales. By means of these inequalities we derive new global stability conditions for nonlinear dynamic equations on time scales. Giving several examples we show that besides generalization and extension to q-difference case, our results also provide improvements for the existing theory regarding differential and difference inequalities, which are the most important particular cases of dynamic inequalities on time scales. (C) 2011 Elsevier Ltd. All rights reserved. en_US
dc.identifier.doi 10.1016/j.na.2011.08.007
dc.identifier.issn 0362-546X
dc.identifier.issn 1873-5215
dc.identifier.scopus 2-s2.0-80052804566
dc.identifier.uri https://doi.org/10.1016/j.na.2011.08.007
dc.identifier.uri https://hdl.handle.net/20.500.14365/1343
dc.language.iso en en_US
dc.publisher Pergamon-Elsevier Science Ltd en_US
dc.relation.ispartof Nonlınear Analysıs-Theory Methods & Applıcatıons en_US
dc.rights info:eu-repo/semantics/openAccess en_US
dc.subject Delay dynamic equation en_US
dc.subject Dynamic inequality en_US
dc.subject Global stability en_US
dc.subject Halanay inequality en_US
dc.subject Shift operator en_US
dc.subject Time scales en_US
dc.subject Global Stability en_US
dc.subject Equations en_US
dc.subject Periodicity en_US
dc.title Halanay Type Inequalities on Time Scales With Applications en_US
dc.type Article en_US
dspace.entity.type Publication
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gdc.coar.access open access
gdc.coar.type text::journal::journal article
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gdc.description.department İzmir Ekonomi Üniversitesi en_US
gdc.description.departmenttemp [Adıvar, Murat] Izmir Univ Econ, Dept Math, TR-35330 Izmir, Turkey; [Bohner, Elvan Akin] Missouri Univ Sci & Technol, Dept Math & Stat, Rolla, MO 65409 USA en_US
gdc.description.endpage 7531 en_US
gdc.description.issue 18 en_US
gdc.description.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
gdc.description.scopusquality Q2
gdc.description.startpage 7519 en_US
gdc.description.volume 74 en_US
gdc.description.wosquality Q1
gdc.identifier.openalex W2172173583
gdc.identifier.wos WOS:000295714200059
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gdc.oaire.keywords Primary 34N05, 34A40, Secondary 34D20, 39A13
gdc.oaire.keywords Mathematics - Classical Analysis and ODEs
gdc.oaire.keywords Classical Analysis and ODEs (math.CA)
gdc.oaire.keywords FOS: Mathematics
gdc.oaire.keywords shift operator
gdc.oaire.keywords time scales
gdc.oaire.keywords Halanay inequality
gdc.oaire.keywords Stability of solutions to ordinary differential equations
gdc.oaire.keywords global stability
gdc.oaire.keywords delay dynamic equation
gdc.oaire.keywords Dynamic equations on time scales or measure chains
gdc.oaire.keywords Differential inequalities involving functions of a single real variable
gdc.oaire.keywords dynamic inequality
gdc.oaire.popularity 9.42158E-9
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gdc.oaire.sciencefields 0101 mathematics
gdc.oaire.sciencefields 01 natural sciences
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gdc.opencitations.count 24
gdc.plumx.crossrefcites 11
gdc.plumx.mendeley 6
gdc.plumx.scopuscites 29
gdc.scopus.citedcount 29
gdc.virtual.author Adivar, Murat
gdc.wos.citedcount 30
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