Rothe's method for solving semi-linear differential equations with deviating arguments

We consider a semi-linear differential equation of parabolic type with deviating arguments in a Banach space with uniformly convex dual, and apply Rothe's method to establish the existence and uniqueness of a strong solution. We also include an example as an application of the main result...

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Main Authors:	Darshana Devi, Duranta Chutia, Rajib Haloi
Format:	Article
Language:	English
Published:	Texas State University 2020-12-01
Series:	Electronic Journal of Differential Equations
Subjects:	strong solution deviating argument semigroup of bounded linear operators semidiscretization method
Online Access:	http://ejde.math.txstate.edu/Volumes/2020/120/abstr.html

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spelling	doaj-3bda7452a9a84f7ab335819453e761b52021-03-02T15:52:27ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912020-12-012020120,110Rothe's method for solving semi-linear differential equations with deviating argumentsDarshana Devi0Duranta Chutia1Rajib Haloi2 Tezpur Univ., Sonitpur, Assam, India Tezpur Univ., Sonitpur, Assam, India Tezpur Univ., Sonitpur, Assam, India We consider a semi-linear differential equation of parabolic type with deviating arguments in a Banach space with uniformly convex dual, and apply Rothe's method to establish the existence and uniqueness of a strong solution. We also include an example as an application of the main result.http://ejde.math.txstate.edu/Volumes/2020/120/abstr.htmlstrong solutiondeviating argumentsemigroup of bounded linear operatorssemidiscretization method
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Darshana Devi Duranta Chutia Rajib Haloi
spellingShingle	Darshana Devi Duranta Chutia Rajib Haloi Rothe's method for solving semi-linear differential equations with deviating arguments Electronic Journal of Differential Equations strong solution deviating argument semigroup of bounded linear operators semidiscretization method
author_facet	Darshana Devi Duranta Chutia Rajib Haloi
author_sort	Darshana Devi
title	Rothe's method for solving semi-linear differential equations with deviating arguments
title_short	Rothe's method for solving semi-linear differential equations with deviating arguments
title_full	Rothe's method for solving semi-linear differential equations with deviating arguments
title_fullStr	Rothe's method for solving semi-linear differential equations with deviating arguments
title_full_unstemmed	Rothe's method for solving semi-linear differential equations with deviating arguments
title_sort	rothe's method for solving semi-linear differential equations with deviating arguments
publisher	Texas State University
series	Electronic Journal of Differential Equations
issn	1072-6691
publishDate	2020-12-01
description	We consider a semi-linear differential equation of parabolic type with deviating arguments in a Banach space with uniformly convex dual, and apply Rothe's method to establish the existence and uniqueness of a strong solution. We also include an example as an application of the main result.
topic	strong solution deviating argument semigroup of bounded linear operators semidiscretization method
url	http://ejde.math.txstate.edu/Volumes/2020/120/abstr.html
work_keys_str_mv	AT darshanadevi rothesmethodforsolvingsemilineardifferentialequationswithdeviatingarguments AT durantachutia rothesmethodforsolvingsemilineardifferentialequationswithdeviatingarguments AT rajibhaloi rothesmethodforsolvingsemilineardifferentialequationswithdeviatingarguments
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Rothe's method for solving semi-linear differential equations with deviating arguments

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