OSCILLATION AND NONOSCILLATION CRITERIA FOR IMPULSIVE DELAY DIFFERENTIAL EQUATIONS WITH PERRON INTEGRABLE COEFFICIENTS

Detalhes bibliográficos
Autor(a) principal: Silva, M. A.
Data de Publicação: 2022
Outros Autores: Federson, M., Gadotti, M. C. [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://hdl.handle.net/11449/241081
Resumo: We present new criteria for the existence of oscillatory and nonoscillatory solutions of measure delay differential equations with impulses. We deal with the integral forms of the differential equations using the Perron and the Perron-Stieltjes integrals. Thus the functions involved can have many discontinuities and be of unbounded variation and yet we obtain good results which encompass those in the literature. Examples are given to illustrate the main results.
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spelling OSCILLATION AND NONOSCILLATION CRITERIA FOR IMPULSIVE DELAY DIFFERENTIAL EQUATIONS WITH PERRON INTEGRABLE COEFFICIENTSdelay differential equationsimpulsesmeasure differential equationsnonoscillationoscillationPerron integralPerron-Stieltjes integralWe present new criteria for the existence of oscillatory and nonoscillatory solutions of measure delay differential equations with impulses. We deal with the integral forms of the differential equations using the Perron and the Perron-Stieltjes integrals. Thus the functions involved can have many discontinuities and be of unbounded variation and yet we obtain good results which encompass those in the literature. Examples are given to illustrate the main results.Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)Departamento de Matemática ICMC Universidade de São Paulo, SPDepartamento de Matemática IGCE Universidade Estadual PaulistaDepartamento de Matemática IGCE Universidade Estadual PaulistaFAPESP: 2015/12489-0CAPES: PROEX 9422567-DUniversidade de São Paulo (USP)Universidade Estadual Paulista (UNESP)Silva, M. A.Federson, M.Gadotti, M. C. [UNESP]2023-03-01T20:46:14Z2023-03-01T20:46:14Z2022-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article125-137Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis, v. 29, n. 2, p. 125-137, 2022.1918-25381201-3390http://hdl.handle.net/11449/2410812-s2.0-85131089016Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengDynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysisinfo:eu-repo/semantics/openAccess2023-03-01T20:46:14Zoai:repositorio.unesp.br:11449/241081Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T23:19:32.518132Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv OSCILLATION AND NONOSCILLATION CRITERIA FOR IMPULSIVE DELAY DIFFERENTIAL EQUATIONS WITH PERRON INTEGRABLE COEFFICIENTS
title OSCILLATION AND NONOSCILLATION CRITERIA FOR IMPULSIVE DELAY DIFFERENTIAL EQUATIONS WITH PERRON INTEGRABLE COEFFICIENTS
spellingShingle OSCILLATION AND NONOSCILLATION CRITERIA FOR IMPULSIVE DELAY DIFFERENTIAL EQUATIONS WITH PERRON INTEGRABLE COEFFICIENTS
Silva, M. A.
delay differential equations
impulses
measure differential equations
nonoscillation
oscillation
Perron integral
Perron-Stieltjes integral
title_short OSCILLATION AND NONOSCILLATION CRITERIA FOR IMPULSIVE DELAY DIFFERENTIAL EQUATIONS WITH PERRON INTEGRABLE COEFFICIENTS
title_full OSCILLATION AND NONOSCILLATION CRITERIA FOR IMPULSIVE DELAY DIFFERENTIAL EQUATIONS WITH PERRON INTEGRABLE COEFFICIENTS
title_fullStr OSCILLATION AND NONOSCILLATION CRITERIA FOR IMPULSIVE DELAY DIFFERENTIAL EQUATIONS WITH PERRON INTEGRABLE COEFFICIENTS
title_full_unstemmed OSCILLATION AND NONOSCILLATION CRITERIA FOR IMPULSIVE DELAY DIFFERENTIAL EQUATIONS WITH PERRON INTEGRABLE COEFFICIENTS
title_sort OSCILLATION AND NONOSCILLATION CRITERIA FOR IMPULSIVE DELAY DIFFERENTIAL EQUATIONS WITH PERRON INTEGRABLE COEFFICIENTS
author Silva, M. A.
author_facet Silva, M. A.
Federson, M.
Gadotti, M. C. [UNESP]
author_role author
author2 Federson, M.
Gadotti, M. C. [UNESP]
author2_role author
author
dc.contributor.none.fl_str_mv Universidade de São Paulo (USP)
Universidade Estadual Paulista (UNESP)
dc.contributor.author.fl_str_mv Silva, M. A.
Federson, M.
Gadotti, M. C. [UNESP]
dc.subject.por.fl_str_mv delay differential equations
impulses
measure differential equations
nonoscillation
oscillation
Perron integral
Perron-Stieltjes integral
topic delay differential equations
impulses
measure differential equations
nonoscillation
oscillation
Perron integral
Perron-Stieltjes integral
description We present new criteria for the existence of oscillatory and nonoscillatory solutions of measure delay differential equations with impulses. We deal with the integral forms of the differential equations using the Perron and the Perron-Stieltjes integrals. Thus the functions involved can have many discontinuities and be of unbounded variation and yet we obtain good results which encompass those in the literature. Examples are given to illustrate the main results.
publishDate 2022
dc.date.none.fl_str_mv 2022-01-01
2023-03-01T20:46:14Z
2023-03-01T20:46:14Z
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 Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis, v. 29, n. 2, p. 125-137, 2022.
1918-2538
1201-3390
http://hdl.handle.net/11449/241081
2-s2.0-85131089016
identifier_str_mv Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis, v. 29, n. 2, p. 125-137, 2022.
1918-2538
1201-3390
2-s2.0-85131089016
url http://hdl.handle.net/11449/241081
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 125-137
dc.source.none.fl_str_mv Scopus
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_ 1808129507609018368

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