Non-periodic averaging principles for measure functional differential equations and functional dynamic equations on time scales involving impulses

Autor(es)

Federson, M. ^[1] ; Mesquita, J. G. ^[2]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Inst Ciencias Matemat & Comp, BR-13560970 Sao Carlos, SP - Brazil

^[2] Univ Sao Paulo, Fac Filosofia Ciencias & Letras Ribeirao Preto, Dept Comp & Matemat, BR-14040901 Ribeirao Preto, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Journal of Differential Equations; v. 255, n. 10, p. 3098-3126, NOV 15 2013.
• Citações Web of Science: 8

Resumo

We present a non-periodic averaging principle for measure functional differential equations and, using the correspondence between solutions of measure functional differential equations and solutions of functional dynamic equations on time scales (see Federson et al., 2012 {[}8]), we obtain a non-periodic averaging result for functional dynamic equations on time scales. Moreover, using the relation between measure functional differential equations and impulsive measure functional differential equations, we get a non-periodic averaging theorem for these equations. Also, it is a known fact that we can relate impulsive measure functional differential equations and impulsive functional dynamic equations on time scales (see Federson et al., 2013 {[}9]). Therefore, applying this correspondence to our averaging principle, we obtain a non-periodic averaging theorem for impulsive functional dynamic equations on time scales. (C) 2013 Elsevier Inc. All rights reserved. (AU)

• Processo FAPESP: 10/09139-3 - Integração não absoluta e equações diferenciais
• Beneficiário: Márcia Cristina Anderson Braz Federson
• Modalidade de apoio: Auxílio à Pesquisa - Regular
• Processo FAPESP: 10/12673-1 - Equações Diferenciais Funcionais Retardadas em time scales
• Beneficiário: Jaqueline Godoy Mesquita
• Modalidade de apoio: Bolsas no Brasil - Doutorado