EXISTENCE RESULTS FOR SOLUTIONS TO DISCONTINUOUS DYNAMIC EQUATIONS ON TIME SCALES

Detalhes bibliográficos
Autor(a) principal: Tikare, Sanket
Data de Publicação: 2020
Outros Autores: Domini dos Santos, Iguer Luis [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.7153/dea-2020-12-06
http://hdl.handle.net/11449/196714
Resumo: In this paper, we present three results about the existence of solutions to discontinuous dynamic equations on time scales. The existence of Caratheodory type solution is produced using convergence and Arzela-Ascoli theorem. The Banach's fixed point theorem is used to investigate the existence and uniqueness of solutions and using Schaefer's fixed point theorem we establish the existence of at least one solution. Our results generalizes and extends some existing theorems in this field.
id UNSP_2bf7da88fe40ea4964e7c5992c69a073
oai_identifier_str oai:repositorio.unesp.br:11449/196714
network_acronym_str UNSP
network_name_str Repositório Institucional da UNESP
repository_id_str 2946
spelling EXISTENCE RESULTS FOR SOLUTIONS TO DISCONTINUOUS DYNAMIC EQUATIONS ON TIME SCALESExistence of solutionsdynamic equationstime scalesCaratheodory functionfixed point theoremIn this paper, we present three results about the existence of solutions to discontinuous dynamic equations on time scales. The existence of Caratheodory type solution is produced using convergence and Arzela-Ascoli theorem. The Banach's fixed point theorem is used to investigate the existence and uniqueness of solutions and using Schaefer's fixed point theorem we establish the existence of at least one solution. Our results generalizes and extends some existing theorems in this field.Ramniranjan Jhunjhunwala Coll, Dept Math, Mumbai 400086, MS, IndiaUniv Estadual Paulista, UNESP, Fac Engn Ilha Solteira, Dept Matemat, Av Brasil 56, BR-15385000 Ilha Solteira, SP, BrazilUniv Estadual Paulista, UNESP, Fac Engn Ilha Solteira, Dept Matemat, Av Brasil 56, BR-15385000 Ilha Solteira, SP, BrazilElementRamniranjan Jhunjhunwala CollUniversidade Estadual Paulista (Unesp)Tikare, SanketDomini dos Santos, Iguer Luis [UNESP]2020-12-10T19:53:54Z2020-12-10T19:53:54Z2020-02-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article89-100http://dx.doi.org/10.7153/dea-2020-12-06Differential Equations & Applications. Zagreb: Element, v. 12, n. 1, p. 89-100, 2020.1847-120Xhttp://hdl.handle.net/11449/19671410.7153/dea-2020-12-06WOS:000521593600006Web of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengDifferential Equations & Applicationsinfo:eu-repo/semantics/openAccess2024-07-10T15:41:39Zoai:repositorio.unesp.br:11449/196714Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T17:59:51.564629Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv EXISTENCE RESULTS FOR SOLUTIONS TO DISCONTINUOUS DYNAMIC EQUATIONS ON TIME SCALES
title EXISTENCE RESULTS FOR SOLUTIONS TO DISCONTINUOUS DYNAMIC EQUATIONS ON TIME SCALES
spellingShingle EXISTENCE RESULTS FOR SOLUTIONS TO DISCONTINUOUS DYNAMIC EQUATIONS ON TIME SCALES
Tikare, Sanket
Existence of solutions
dynamic equations
time scales
Caratheodory function
fixed point theorem
title_short EXISTENCE RESULTS FOR SOLUTIONS TO DISCONTINUOUS DYNAMIC EQUATIONS ON TIME SCALES
title_full EXISTENCE RESULTS FOR SOLUTIONS TO DISCONTINUOUS DYNAMIC EQUATIONS ON TIME SCALES
title_fullStr EXISTENCE RESULTS FOR SOLUTIONS TO DISCONTINUOUS DYNAMIC EQUATIONS ON TIME SCALES
title_full_unstemmed EXISTENCE RESULTS FOR SOLUTIONS TO DISCONTINUOUS DYNAMIC EQUATIONS ON TIME SCALES
title_sort EXISTENCE RESULTS FOR SOLUTIONS TO DISCONTINUOUS DYNAMIC EQUATIONS ON TIME SCALES
author Tikare, Sanket
author_facet Tikare, Sanket
Domini dos Santos, Iguer Luis [UNESP]
author_role author
author2 Domini dos Santos, Iguer Luis [UNESP]
author2_role author
dc.contributor.none.fl_str_mv Ramniranjan Jhunjhunwala Coll
Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Tikare, Sanket
Domini dos Santos, Iguer Luis [UNESP]
dc.subject.por.fl_str_mv Existence of solutions
dynamic equations
time scales
Caratheodory function
fixed point theorem
topic Existence of solutions
dynamic equations
time scales
Caratheodory function
fixed point theorem
description In this paper, we present three results about the existence of solutions to discontinuous dynamic equations on time scales. The existence of Caratheodory type solution is produced using convergence and Arzela-Ascoli theorem. The Banach's fixed point theorem is used to investigate the existence and uniqueness of solutions and using Schaefer's fixed point theorem we establish the existence of at least one solution. Our results generalizes and extends some existing theorems in this field.
publishDate 2020
dc.date.none.fl_str_mv 2020-12-10T19:53:54Z
2020-12-10T19:53:54Z
2020-02-01
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.7153/dea-2020-12-06
Differential Equations & Applications. Zagreb: Element, v. 12, n. 1, p. 89-100, 2020.
1847-120X
http://hdl.handle.net/11449/196714
10.7153/dea-2020-12-06
WOS:000521593600006
url http://dx.doi.org/10.7153/dea-2020-12-06
http://hdl.handle.net/11449/196714
identifier_str_mv Differential Equations & Applications. Zagreb: Element, v. 12, n. 1, p. 89-100, 2020.
1847-120X
10.7153/dea-2020-12-06
WOS:000521593600006
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Differential Equations & Applications
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 89-100
dc.publisher.none.fl_str_mv Element
publisher.none.fl_str_mv Element
dc.source.none.fl_str_mv Web of Science
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
_version_ 1808128882654576640

Registros relacionados