Qualitative Analysis of Nonlinear Volterra Integral Equations on Time Scales Using Resolvent and Lyapunov Functionals
| dc.contributor.author | Adıvar, Murat | |
| dc.contributor.author | Raffoul, Youssef N. | |
| dc.date.accessioned | 2023-06-16T12:58:53Z | |
| dc.date.available | 2023-06-16T12:58:53Z | |
| dc.date.issued | 2016 | |
| dc.description.abstract | In this paper we use the notion of the resolvent equation and Lyapunov's method to study boundedness and integrability of the solutions of the nonlinear Volterra integral equation on time scales x(t) = a(t) - integral(t)(t0) C(t, s)G(s, x(s)) Delta s, t is an element of[t(0), infinity) boolean AND T. In particular, the existence of bounded solutions with various L-P properties are studied under suitable conditions on the functions involved in the above Volterra integral equation. At the end of the paper we display some examples on different time scales. (C) 2015 Elsevier Inc. All rights reserved. | en_US |
| dc.identifier.doi | 10.1016/j.amc.2015.09.087 | |
| dc.identifier.issn | 0096-3003 | |
| dc.identifier.issn | 1873-5649 | |
| dc.identifier.scopus | 2-s2.0-84946111477 | |
| dc.identifier.uri | https://doi.org/10.1016/j.amc.2015.09.087 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14365/1057 | |
| dc.language.iso | en | en_US |
| dc.publisher | Elsevier Science Inc | en_US |
| dc.relation.ispartof | Applıed Mathematıcs And Computatıon | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Lyapunov Functionals | en_US |
| dc.subject | Non-negative solution | en_US |
| dc.subject | Resolvent | en_US |
| dc.subject | Time scales | en_US |
| dc.subject | Volterra integral equation | en_US |
| dc.subject | Perturbation | en_US |
| dc.subject | Stability | en_US |
| dc.title | Qualitative Analysis of Nonlinear Volterra Integral Equations on Time Scales Using Resolvent and Lyapunov Functionals | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | ADIVAR, Murat/0000-0002-9707-2005 | |
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| gdc.author.wosid | ADIVAR, Murat/N-3430-2018 | |
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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; [Raffoul, Youssef N.] Univ Dayton, Dept Math, Dayton, OH 45469 USA | en_US |
| gdc.description.endpage | 266 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q1 | |
| gdc.description.startpage | 258 | en_US |
| gdc.description.volume | 273 | en_US |
| gdc.description.wosquality | Q1 | |
| gdc.identifier.openalex | W2176918492 | |
| gdc.identifier.wos | WOS:000365613400025 | |
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| gdc.oaire.keywords | Dynamic equations on time scales or measure chains | |
| gdc.oaire.keywords | Volterra integral equations | |
| gdc.oaire.keywords | time scales | |
| gdc.oaire.keywords | non-negative solution | |
| gdc.oaire.keywords | resolvent | |
| gdc.oaire.keywords | Lyapunov functionals | |
| gdc.oaire.keywords | Volterra integral equation | |
| gdc.oaire.popularity | 2.364538E-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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