Measure Neutral Functional Differential Equations as Generalized ODEs
| dc.contributor.author | Federson, M. | |
| dc.contributor.author | Frasson, M. | |
| dc.contributor.author | Mesquita, J. G. | |
| dc.contributor.author | Tacuri, P. H. [UNESP] | |
| dc.contributor.institution | Universidade de São Paulo (USP) | |
| dc.contributor.institution | Universidade de Brasília (UnB) | |
| dc.contributor.institution | Universidade Estadual Paulista (Unesp) | |
| dc.date.accessioned | 2019-10-04T12:13:37Z | |
| dc.date.available | 2019-10-04T12:13:37Z | |
| dc.date.issued | 2019-03-01 | |
| dc.description.abstract | In this paper, we introduce a class of measure neutral functional differential equations of type through the relation with a certain class of eneralized ordinary differential equations introduced in Federson and Schwabik (Differ Integral Equ 19(11):1201-1234, 2006) (we write generalized ODEs), using similar ideas to those of Federson et al. (J Differ Equ 252(6):3816-3847, 2012). By means of the correspondence with generalized ODEs, we state results on the existence, uniqueness and continuous dependences of solutions for our equation of neutral type. | en |
| dc.description.affiliation | Univ Sao Paulo, Inst Ciencias Matemat & Comp, Campus Sao Carlos,Caixa Postal 668, BR-13560970 Sao Carlos, SP, Brazil | |
| dc.description.affiliation | Univ Brasilia, Inst Ciencias Exatas, Brasilia, DF, Brazil | |
| dc.description.affiliation | Univ Estadual Paulista, Fac Ciencias & Tecnol, Presidente Prudente, SP, Brazil | |
| dc.description.affiliationUnesp | Univ Estadual Paulista, Fac Ciencias & Tecnol, Presidente Prudente, SP, Brazil | |
| dc.description.sponsorship | Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) | |
| dc.description.sponsorship | Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) | |
| dc.description.sponsorship | FEMAT-Fundacao de Estudos em Ciencias Matematicas | |
| dc.description.sponsorshipId | CNPq: 309344/2017-4 | |
| dc.description.sponsorshipId | CNPq: 152258/2010-8 | |
| dc.description.sponsorshipId | CNPq: 407952/2016-0 | |
| dc.description.sponsorshipId | CNPq: 141947/2009-8 | |
| dc.description.sponsorshipId | FAPESP: 2017/13795-2 | |
| dc.description.sponsorshipId | FEMAT-Fundacao de Estudos em Ciencias Matematicas: 039/2017 | |
| dc.format.extent | 207-236 | |
| dc.identifier | http://dx.doi.org/10.1007/s10884-018-9682-y | |
| dc.identifier.citation | Journal Of Dynamics And Differential Equations. New York: Springer, v. 31, n. 1, p. 207-236, 2019. | |
| dc.identifier.doi | 10.1007/s10884-018-9682-y | |
| dc.identifier.issn | 1040-7294 | |
| dc.identifier.uri | http://hdl.handle.net/11449/184435 | |
| dc.identifier.wos | WOS:000463592000009 | |
| dc.language.iso | eng | |
| dc.publisher | Springer | |
| dc.relation.ispartof | Journal Of Dynamics And Differential Equations | |
| dc.rights.accessRights | Acesso aberto | pt |
| dc.source | Web of Science | |
| dc.subject | Generalized ordinary differential equations | |
| dc.subject | Neutral measure functional differential equations | |
| dc.subject | Kurzweil-Henstock-Stieltjes integral | |
| dc.title | Measure Neutral Functional Differential Equations as Generalized ODEs | en |
| dc.type | Artigo | pt |
| dcterms.license | http://www.springer.com/open+access/authors+rights?SGWID=0-176704-12-683201-0 | |
| dcterms.rightsHolder | Springer | |
| dspace.entity.type | Publication | |
| relation.isOrgUnitOfPublication | bbcf06b3-c5f9-4a27-ac03-b690202a3b4e | |
| relation.isOrgUnitOfPublication.latestForDiscovery | bbcf06b3-c5f9-4a27-ac03-b690202a3b4e | |
| unesp.campus | Universidade Estadual Paulista (UNESP), Faculdade de Ciências e Tecnologia, Presidente Prudente | pt |