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On implicit abstract neutral nonlinear differential equations

On implicit abstract neutral nonlinear differential equations 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Applied Mathematics and Optimization Springer Journals

On implicit abstract neutral nonlinear differential equations

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References (43)

Publisher
Springer Journals
Copyright
Copyright © 2016 by Springer Science+Business Media New York
Subject
Mathematics; Calculus of Variations and Optimal Control; Optimization; Systems Theory, Control; Theoretical, Mathematical and Computational Physics; Mathematical Methods in Physics; Numerical and Computational Physics
ISSN
0095-4616
eISSN
1432-0606
DOI
10.1007/s00245-015-9305-5
Publisher site
See Article on Publisher Site

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.

Journal

Applied Mathematics and OptimizationSpringer Journals

Published: Apr 1, 2016

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