Existence of solutions to neutral differential equations with deviated argument

Existence of solutions to neutral differential equations with deviated argument

In this paper we shall study a neutral differential equation with deviated argument in an arbitrary Banach space $X.$ With the help of the analytic semigroups theory and fixed point method we establish the existence and uniqueness of solutions of the given problem. Finally, we give examples to illus...

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Main Authors: Malik Muslim, Dhirendra Bahuguna
Format: Article
Language:English
Published: University of Szeged 2008-09-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=342
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spelling doaj-f089c4407b444ecd994df9a47090ec312021-07-14T07:21:20ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38751417-38752008-09-0120082711210.14232/ejqtde.2008.1.27342Existence of solutions to neutral differential equations with deviated argumentMalik Muslim0Dhirendra Bahuguna1Indian Institute of Science, Bangalore, IndiaIndian Institute of Technology, Kanpur, IndiaIn this paper we shall study a neutral differential equation with deviated argument in an arbitrary Banach space $X.$ With the help of the analytic semigroups theory and fixed point method we establish the existence and uniqueness of solutions of the given problem. Finally, we give examples to illustrate the applications of the abstract results.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=342
collection DOAJ
language English
format Article
sources DOAJ
author Malik Muslim
Dhirendra Bahuguna
spellingShingle Malik Muslim
Dhirendra Bahuguna
Existence of solutions to neutral differential equations with deviated argument
Electronic Journal of Qualitative Theory of Differential Equations
author_facet Malik Muslim
Dhirendra Bahuguna
author_sort Malik Muslim
title Existence of solutions to neutral differential equations with deviated argument
title_short Existence of solutions to neutral differential equations with deviated argument
title_full Existence of solutions to neutral differential equations with deviated argument
title_fullStr Existence of solutions to neutral differential equations with deviated argument
title_full_unstemmed Existence of solutions to neutral differential equations with deviated argument
title_sort existence of solutions to neutral differential equations with deviated argument
publisher University of Szeged
series Electronic Journal of Qualitative Theory of Differential Equations
issn 1417-3875
1417-3875
publishDate 2008-09-01
description In this paper we shall study a neutral differential equation with deviated argument in an arbitrary Banach space $X.$ With the help of the analytic semigroups theory and fixed point method we establish the existence and uniqueness of solutions of the given problem. Finally, we give examples to illustrate the applications of the abstract results.
url http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=342
work_keys_str_mv AT malikmuslim existenceofsolutionstoneutraldifferentialequationswithdeviatedargument
AT dhirendrabahuguna existenceofsolutionstoneutraldifferentialequationswithdeviatedargument
_version_ 1721303879489945600

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