Inequalities and Exponential Stability and Instability in Finite Delay Volterra Integro-Differential Equations
| dc.contributor.author | Adıvar, Murat | |
| dc.contributor.author | Raffoul, Youssef N. | |
| dc.date.accessioned | 2023-06-16T12:48:20Z | |
| dc.date.available | 2023-06-16T12:48:20Z | |
| dc.date.issued | 2012 | |
| dc.description.abstract | We use Liapunov functionals to obtain sufficient conditions that ensure exponential stability of the nonlinear Volterra integro- differential equation x(2) (t) = p(1)x(t) - integral(t)(t-iota) q(t,s)x(s)ds where the constant t is positive, the function p does not need to obey any sign condition and the kernel q is continuous. Our results improve the results obtained in literature even in the autonomous case. In addition, we give a new criteria for instability. | en_US |
| dc.identifier.doi | 10.1007/s12215-012-0092-4 | |
| dc.identifier.issn | 0009-725X | |
| dc.identifier.issn | 1973-4409 | |
| dc.identifier.scopus | 2-s2.0-84869777213 | |
| dc.identifier.uri | https://doi.org/10.1007/s12215-012-0092-4 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14365/1007 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer-Verlag Italia Srl | en_US |
| dc.relation.ispartof | Rendıcontı Del Cırcolo Matematıco Dı Palermo | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Volterra integro-differential equation | en_US |
| dc.subject | Exponential stability | en_US |
| dc.subject | Liapunov functional | en_US |
| dc.subject | Instability | en_US |
| dc.title | Inequalities and Exponential Stability and Instability in Finite Delay Volterra Integro-Differential Equations | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | ADIVAR, Murat/0000-0002-9707-2005 | |
| gdc.author.scopusid | 55913381700 | |
| gdc.author.scopusid | 6602902226 | |
| gdc.author.wosid | ADIVAR, Murat/N-3430-2018 | |
| gdc.bip.impulseclass | C5 | |
| gdc.bip.influenceclass | C4 | |
| gdc.bip.popularityclass | C5 | |
| gdc.coar.access | metadata only access | |
| gdc.coar.type | text::journal::journal article | |
| gdc.collaboration.industrial | false | |
| gdc.description.department | İzmir Ekonomi Üniversitesi | en_US |
| gdc.description.departmenttemp | [Adıvar, Murat] Izmir Univ Econ, Dept Math, TR-35330 Izmir, Turkey; [Raffoul, Youssef N.] Univ Dayton, Dept Math, Dayton, OH 45469 USA | en_US |
| gdc.description.endpage | 330 | en_US |
| gdc.description.issue | 3 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q2 | |
| gdc.description.startpage | 321 | en_US |
| gdc.description.volume | 61 | en_US |
| gdc.description.wosquality | Q2 | |
| gdc.identifier.openalex | W2020161119 | |
| gdc.identifier.wos | WOS:000218342300002 | |
| gdc.index.type | WoS | |
| gdc.index.type | Scopus | |
| gdc.oaire.diamondjournal | false | |
| gdc.oaire.impulse | 0.0 | |
| gdc.oaire.influence | 3.241922E-9 | |
| gdc.oaire.isgreen | false | |
| gdc.oaire.keywords | Integro-ordinary differential equations | |
| gdc.oaire.keywords | integro-differential equation | |
| gdc.oaire.keywords | Volterra stability | |
| gdc.oaire.keywords | integral-delay type functional equation | |
| gdc.oaire.keywords | Volterra integral equations | |
| gdc.oaire.keywords | Stability theory for integral equations | |
| gdc.oaire.keywords | Lyapunov functional | |
| gdc.oaire.popularity | 1.971149E-9 | |
| gdc.oaire.publicfunded | false | |
| gdc.oaire.sciencefields | 0101 mathematics | |
| gdc.oaire.sciencefields | 01 natural sciences | |
| gdc.openalex.collaboration | International | |
| gdc.openalex.fwci | 0.4212 | |
| gdc.openalex.normalizedpercentile | 0.59 | |
| gdc.opencitations.count | 6 | |
| gdc.plumx.crossrefcites | 5 | |
| gdc.plumx.mendeley | 2 | |
| gdc.plumx.scopuscites | 13 | |
| gdc.scopus.citedcount | 13 | |
| gdc.virtual.author | Adivar, Murat | |
| gdc.wos.citedcount | 9 | |
| relation.isAuthorOfPublication | 8450489c-55fd-473a-80ec-8869eb6fe1b9 | |
| relation.isAuthorOfPublication.latestForDiscovery | 8450489c-55fd-473a-80ec-8869eb6fe1b9 | |
| relation.isOrgUnitOfPublication | 9fb4f7d7-bc42-4427-abc8-046d10845333 | |
| relation.isOrgUnitOfPublication | a42dba5b-3d5d-430e-8f4c-10d6dbc69123 | |
| relation.isOrgUnitOfPublication | e9e77e3e-bc94-40a7-9b24-b807b2cd0319 | |
| relation.isOrgUnitOfPublication.latestForDiscovery | 9fb4f7d7-bc42-4427-abc8-046d10845333 |
Files
Original bundle
1 - 1 of 1