EXISTENCE RESULTS FOR SOLUTIONS TO DISCONTINUOUS DYNAMIC EQUATIONS ON TIME SCALES
dc.contributor.author | Tikare, Sanket | |
dc.contributor.author | Domini dos Santos, Iguer Luis [UNESP] | |
dc.contributor.institution | Ramniranjan Jhunjhunwala Coll | |
dc.contributor.institution | Universidade Estadual Paulista (Unesp) | |
dc.date.accessioned | 2020-12-10T19:53:54Z | |
dc.date.available | 2020-12-10T19:53:54Z | |
dc.date.issued | 2020-02-01 | |
dc.description.abstract | 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. | en |
dc.description.affiliation | Ramniranjan Jhunjhunwala Coll, Dept Math, Mumbai 400086, MS, India | |
dc.description.affiliation | Univ Estadual Paulista, UNESP, Fac Engn Ilha Solteira, Dept Matemat, Av Brasil 56, BR-15385000 Ilha Solteira, SP, Brazil | |
dc.description.affiliationUnesp | Univ Estadual Paulista, UNESP, Fac Engn Ilha Solteira, Dept Matemat, Av Brasil 56, BR-15385000 Ilha Solteira, SP, Brazil | |
dc.format.extent | 89-100 | |
dc.identifier | http://dx.doi.org/10.7153/dea-2020-12-06 | |
dc.identifier.citation | Differential Equations & Applications. Zagreb: Element, v. 12, n. 1, p. 89-100, 2020. | |
dc.identifier.doi | 10.7153/dea-2020-12-06 | |
dc.identifier.issn | 1847-120X | |
dc.identifier.uri | http://hdl.handle.net/11449/196714 | |
dc.identifier.wos | WOS:000521593600006 | |
dc.language.iso | eng | |
dc.publisher | Element | |
dc.relation.ispartof | Differential Equations & Applications | |
dc.source | Web of Science | |
dc.subject | Existence of solutions | |
dc.subject | dynamic equations | |
dc.subject | time scales | |
dc.subject | Caratheodory function | |
dc.subject | fixed point theorem | |
dc.title | EXISTENCE RESULTS FOR SOLUTIONS TO DISCONTINUOUS DYNAMIC EQUATIONS ON TIME SCALES | en |
dc.type | Artigo | |
dcterms.rightsHolder | Element | |
dspace.entity.type | Publication | |
unesp.department | Matemática - FEIS | pt |