ON EXPLICIT ABSTRACT NEUTRAL DIFFERENTIAL EQUATIONS WITH STATE-DEPENDENT DELAY

Autor(es)

Hernandez, Eduardo

• Tipo de documento: Artigo Científico
• Fonte: Proceedings of the American Mathematical Society; v. 151, n. 3, p. 15-pg., 2023-03-01.

Resumo

We introduce and study a class of abstract neutral differential equations with state-dependent delay at the temporal derivative. We study the local and global existence and uniqueness of mild solution and the existence of strict solution. Some examples concerning partial neutral integro-differential equations are presented. (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