Explicit abstract neutral differential equations with state-dependent delay: Existence, uniqueness and local well-posedness

Autor(es)

Hernandez, Eduardo ; Wu, Jianhong

• Tipo de documento: Artigo Científico
• Fonte: Journal of Differential Equations; v. 365, p. 62-pg., 2023-05-24.

Resumo

We study the local and global existence and uniqueness of strict solution and the local well-posedness for a class of abstract "explicit" neutral integro-differential equations with state-dependent delay. In the last section some examples motivated by explicit neutral ordinary integro-differential equations arising in the theory of population dynamics are presented.(c) 2023 Elsevier Inc. All rights reserved. (AU)

• Processo FAPESP: 21/12559-9 - Equações diferenciais abstratas com memória dependendo do estado
• Beneficiário: Eduardo Alex Hernández Morales
• Modalidade de apoio: Auxílio à Pesquisa - Regular