On implicit abstract neutral nonlinear differential equations

Autor(es)

Hernandez, Eduardo ^[1] ; O'Regan, Donal ^[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] Natl Univ Ireland, Sch Math Stat & Appl Math, Galway - Ireland

• Tipo de documento: Artigo Científico
• Fonte: APPLIED MATHEMATICS AND OPTIMIZATION; v. 73, n. 2, p. 329-347, APR 2016.
• Citações Web of Science: 0

Resumo

In this paper we continue our developments in Hernandez and O'Regan (J Funct Anal 261:3457-3481, 2011) on the existence of solutions for abstract neutral differential equations. In particular we extend the results in Hernandez and O'Regan (J Funct Anal 261:3457-3481, 2011) for the case of implicit nonlinear neutral equations and we focus on applications to partial ``nonlinear{''} neutral differential equations. Some applications involving partial neutral differential equations are presented. (AU)

• Processo FAPESP: 11/17832-3 - Existência e propriedades qualitativas de soluções de equações diferenciais funcionais do tipo neutro
• Beneficiário: Eduardo Alex Hernández Morales
• Modalidade de apoio: Auxílio à Pesquisa - Regular