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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

On implicit abstract neutral nonlinear differential equations

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Author(s):
Hernandez, Eduardo [1] ; O'Regan, Donal [2]
Total Authors: 2
Affiliation:
[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
Total Affiliations: 2
Document type: Journal article
Source: APPLIED MATHEMATICS AND OPTIMIZATION; v. 73, n. 2, p. 329-347, APR 2016.
Web of Science Citations: 0
Abstract

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)

FAPESP's process: 11/17832-3 - Existence and qualitative properties of solutions of abstract neutral functional differential equations
Grantee:Eduardo Alex Hernández Morales
Support Opportunities: Regular Research Grants