EXISTENCE, UNIQUENESS AND QUALITATIVE PROPERTIES OF GLOBAL SOLUTIONS OF ABSTRACT DIFFERENTIAL EQUATIONS WITH STATE-DEPENDENT DELAY

Texto completo
Autor(es):	Hernandez, Eduardo ^[1] ; Wu, Jianhong ^[2] Número total de Autores: 2
Afiliação do(s) autor(es):	^[1] Univ Sao Paulo, Fac Filosofia Ciencias & Letras Ribeirao Preto, Dept Comp & Matemat, BR-14040901 Ribeirao Preto, SP - Brazil ^[2] York Univ, Dept Math & Stat, Toronto, ON M3J 1P3 - Canada Número total de Afiliações: 2
Tipo de documento:	Artigo Científico
Fonte:	PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY; v. 62, n. 3, p. 771-788, AUG 2019.
Citações Web of Science:	0
Resumo
We study the existence, uniqueness and qualitative properties of global solutions of abstract differential equations with state-dependent delay. Results on the existence of almost periodic-type solutions (including, periodic, almost periodic, asymptotically almost periodic and almost automorphic solutions) are proved. Some examples of partial differential equations with state-dependent delay arising in population dynamics are presented. (AU)

Processo FAPESP:	17/13145-8 - Soluções globais para equações diferenciais abstratas com retardo dependendo do estado
Beneficiário:	Eduardo Alex Hernández Morales
Modalidade de apoio:	Auxílio à Pesquisa - Regular