Nonlinear neutral functional differential equations in product spaces

Control systems governed by nonlinear neutral functional differential equations are formulated as abstract evolution equations in product spaces. At this point existence and uniqueness of solutions are studied. This formulation is used to develop a general approximation scheme for those systems. C...

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Main Author:	Amillo-Gil, Jose M.
Other Authors:	Mathematics
Format:	Others
Language:	en_US
Published:	Virginia Polytechnic Institute and State University 2017
Subjects:	LD5655.V856 1981.A454 Approximation theory Functional differential equations
Online Access:	http://hdl.handle.net/10919/74170

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record_format	oai_dc
spelling	ndltd-VTETD-oai-vtechworks.lib.vt.edu-10919-741702020-09-29T05:30:08Z Nonlinear neutral functional differential equations in product spaces Amillo-Gil, Jose M. Mathematics LD5655.V856 1981.A454 Approximation theory Functional differential equations Control systems governed by nonlinear neutral functional differential equations are formulated as abstract evolution equations in product spaces. At this point existence and uniqueness of solutions are studied. This formulation is used to develop a general approximation scheme for those systems. Convergence of this scheme is analyzed. It is also shown how spline based approximating methods fall within this general framework. An illustrative example is presented. Ph. D. 2017-01-10T21:17:38Z 2017-01-10T21:17:38Z 1981 Dissertation Text http://hdl.handle.net/10919/74170 en_US OCLC# 8020650 In Copyright http://rightsstatements.org/vocab/InC/1.0/ iv, 88, [1] leaves application/pdf application/pdf Virginia Polytechnic Institute and State University
collection	NDLTD
language	en_US
format	Others
sources	NDLTD
topic	LD5655.V856 1981.A454 Approximation theory Functional differential equations
spellingShingle	LD5655.V856 1981.A454 Approximation theory Functional differential equations Amillo-Gil, Jose M. Nonlinear neutral functional differential equations in product spaces
description	Control systems governed by nonlinear neutral functional differential equations are formulated as abstract evolution equations in product spaces. At this point existence and uniqueness of solutions are studied. This formulation is used to develop a general approximation scheme for those systems. Convergence of this scheme is analyzed. It is also shown how spline based approximating methods fall within this general framework. An illustrative example is presented. === Ph. D.
author2	Mathematics
author_facet	Mathematics Amillo-Gil, Jose M.
author	Amillo-Gil, Jose M.
author_sort	Amillo-Gil, Jose M.
title	Nonlinear neutral functional differential equations in product spaces
title_short	Nonlinear neutral functional differential equations in product spaces
title_full	Nonlinear neutral functional differential equations in product spaces
title_fullStr	Nonlinear neutral functional differential equations in product spaces
title_full_unstemmed	Nonlinear neutral functional differential equations in product spaces
title_sort	nonlinear neutral functional differential equations in product spaces
publisher	Virginia Polytechnic Institute and State University
publishDate	2017
url	http://hdl.handle.net/10919/74170
work_keys_str_mv	AT amillogiljosem nonlinearneutralfunctionaldifferentialequationsinproductspaces
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Nonlinear neutral functional differential equations in product spaces

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