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On implicit abstract neutral nonlinear differential equations

Journal Article · · Applied Mathematics and Optimization
 [1];  [2]
  1. Universidade de São Paulo, Departamento de Computação e Matemática, Faculdade de Filosofia Ciências e Letras de Ribeirão Preto (Brazil)
  2. National University of Ireland, School of Mathematics, Statistics and Applied Mathematics (Ireland)

In this paper we continue our developments in Hernández 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 Hernández 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.

OSTI ID:
22617365
Journal Information:
Applied Mathematics and Optimization, Journal Name: Applied Mathematics and Optimization Journal Issue: 2 Vol. 73; ISSN 0095-4616
Country of Publication:
United States
Language:
English

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