Necessary and Sufficient Conditions for Uniform Stability of Volterra Integro-Dynamic Equations Using New Resolvent Equation
| dc.contributor.author | Adivar M. | |
| dc.contributor.author | Raffoul Y.N. | |
| dc.date.accessioned | 2023-06-16T15:03:07Z | |
| dc.date.available | 2023-06-16T15:03:07Z | |
| dc.date.issued | 2013 | |
| dc.description.abstract | We consider the system of Volterra integro-dynamic equations and obtain necessary and sufficient conditions for the uniform stability of the zero solution employing the resolvent equation coupled with the variation of parameters formula. The resolvent equation that we use for the study of stability will have to be developed since it is un- known for time scales. At the end of the paper, we furnish an example in which we deploy an appropriate Lyapunov functional. In addition to generalization, the results of this paper provides improvements for its counterparts in integro-differential and integro-difference equations which are the most important particular cases of our equation. | en_US |
| dc.identifier.doi | 10.2478/auom-2013-0039 | |
| dc.identifier.issn | 1224-1784 | |
| dc.identifier.issn | 1844-0835 | |
| dc.identifier.scopus | 2-s2.0-84888621088 | |
| dc.identifier.uri | https://doi.org/10.2478/auom-2013-0039 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14365/3736 | |
| dc.language.iso | en | en_US |
| dc.relation.ispartof | Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Lyapunov functional | en_US |
| dc.subject | New resolvent equation | en_US |
| dc.subject | Time scales | en_US |
| dc.subject | Uniform stability | en_US |
| dc.subject | Volterra | en_US |
| dc.title | Necessary and Sufficient Conditions for Uniform Stability of Volterra Integro-Dynamic Equations Using New Resolvent Equation | 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 | |
| gdc.collaboration.industrial | false | |
| gdc.description.departmenttemp | Adivar, M., Department of Mathematics, Izmir University of Economics, Sakarya Cad. No: 156, 35330 Balova, zmir, Turkey; Raffoul, Y.N., Department of Mathematics, University of Dayton, Dayton, OH 45469-2316, United States | en_US |
| gdc.description.endpage | 32 | en_US |
| gdc.description.issue | 3 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q3 | |
| gdc.description.startpage | 17 | en_US |
| gdc.description.volume | 21 | en_US |
| gdc.description.wosquality | Q2 | |
| gdc.identifier.openalex | W2240499629 | |
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| gdc.oaire.keywords | new resolvent equation | |
| gdc.oaire.keywords | time scales | |
| gdc.oaire.keywords | QA1-939 | |
| gdc.oaire.keywords | uniform stability | |
| gdc.oaire.keywords | volterra | |
| gdc.oaire.keywords | Mathematics | |
| gdc.oaire.keywords | lyapunov functional | |
| gdc.oaire.popularity | 2.3233924E-9 | |
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| gdc.oaire.sciencefields | 0101 mathematics | |
| gdc.oaire.sciencefields | 01 natural sciences | |
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| gdc.virtual.author | Adivar, Murat | |
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