Existence, uniqueness and approximate controllability of abstract differential equations with state-dependent delay

Autor(es)

Hernandez, Eduardo ^[1] ; Wu, Jianhong ^[2] ; Chadha, Alka ^[3]

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

^[3] NorthCap Univ, Dept Appl Sci, Gurugram 122017 - India

• Tipo de documento: Artigo Científico
• Fonte: Journal of Differential Equations; v. 269, n. 10, p. 8701-8735, NOV 5 2020.
• Citações Web of Science: 0

Resumo

We study the approximate controllability of a general class of first order abstract control differential problems with state-dependent delay. To this end, we establish and prove several new results on local and global existence and uniqueness of mild and strict solutions for abstract differential equations with state-dependent delay. In the last section, some examples are presented. (c) 2020 Elsevier Inc. All rights reserved. (AU)

• Processo FAPESP: 17/11090-1 - Controlabilidade de equações diferenciais abstratas com retardamento dependendo do estado
• Beneficiário: Alka Chadha
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado