Measure functional differential equations and functional dynamic equations on time scales

Autor(es)

Federson, Marcia ^[1] ; Mesquita, Jaqueline G. ^[1] ; Slavik, Antonin ^[2]

Afiliação do(s) autor(es)

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

^[2] Charles Univ Prague, Fac Math & Phys, Prague 18675 8 - Czech Republic

• Tipo de documento: Artigo Científico
• Fonte: Journal of Differential Equations; v. 252, n. 6, p. 3816-3847, MAR 15 2012.
• Citações Web of Science: 46

Resumo

We study measure functional differential equations and clarify their relation to generalized ordinary differential equations. We show that functional dynamic equations on time scales represent a special case of measure functional differential equations. For both types of equations, we obtain results on the existence and uniqueness of solutions, continuous dependence, and periodic averaging. (C) 2011 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