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Title: On implicit abstract neutral nonlinear differential equations

Abstract

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.

Authors:
 [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)
Publication Date:
OSTI Identifier:
22617365
Resource Type:
Journal Article
Resource Relation:
Journal Name: Applied Mathematics and Optimization; Journal Volume: 73; Journal Issue: 2; Other Information: Copyright (c) 2016 Springer Science+Business Media New York; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICAL METHODS AND COMPUTING; DIFFERENTIAL EQUATIONS; MATHEMATICAL SOLUTIONS; NONLINEAR PROBLEMS

Citation Formats

Hernández, Eduardo, E-mail: lalohm@ffclrp.usp.br, and O’Regan, Donal, E-mail: donal.oregan@nuigalway.ie. On implicit abstract neutral nonlinear differential equations. United States: N. p., 2016. Web. doi:10.1007/S00245-015-9305-5.
Hernández, Eduardo, E-mail: lalohm@ffclrp.usp.br, & O’Regan, Donal, E-mail: donal.oregan@nuigalway.ie. On implicit abstract neutral nonlinear differential equations. United States. doi:10.1007/S00245-015-9305-5.
Hernández, Eduardo, E-mail: lalohm@ffclrp.usp.br, and O’Regan, Donal, E-mail: donal.oregan@nuigalway.ie. Fri . "On implicit abstract neutral nonlinear differential equations". United States. doi:10.1007/S00245-015-9305-5.
@article{osti_22617365,
title = {On implicit abstract neutral nonlinear differential equations},
author = {Hernández, Eduardo, E-mail: lalohm@ffclrp.usp.br and O’Regan, Donal, E-mail: donal.oregan@nuigalway.ie},
abstractNote = {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.},
doi = {10.1007/S00245-015-9305-5},
journal = {Applied Mathematics and Optimization},
number = 2,
volume = 73,
place = {United States},
year = {Fri Apr 15 00:00:00 EDT 2016},
month = {Fri Apr 15 00:00:00 EDT 2016}
}