Abstract differential inequalities and the Cauchy problem for infinite-dimensional linear functional differential equations

Abstract differential inequalities and the Cauchy problem for infinite-dimensional linear functional differential equations

<p/> <p>We establish optimal, in a sense, unique solvability conditions of the Cauchy problem for a wide class of linear functional differential equations in a Banach space with a solid wedge. The conditions are formulated in terms of certain abstract functional differential inequalities...

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Main Authors: &#352;remr Ji&#345;&#237;, Ront&#243; Andrei
Format: Article
Language:English
Published: SpringerOpen 2005-01-01
Series:Journal of Inequalities and Applications
Online Access:http://www.journalofinequalitiesandapplications.com/content/2005/348549
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spelling doaj-b4affe528fd04b75be31452e416516092020-11-24T23:56:31ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2005-01-0120053348549Abstract differential inequalities and the Cauchy problem for infinite-dimensional linear functional differential equations&#352;remr Ji&#345;&#237;Ront&#243; Andrei<p/> <p>We establish optimal, in a sense, unique solvability conditions of the Cauchy problem for a wide class of linear functional differential equations in a Banach space with a solid wedge. The conditions are formulated in terms of certain abstract functional differential inequalities.</p>http://www.journalofinequalitiesandapplications.com/content/2005/348549
collection DOAJ
language English
format Article
sources DOAJ
author &#352;remr Ji&#345;&#237;
Ront&#243; Andrei
spellingShingle &#352;remr Ji&#345;&#237;
Ront&#243; Andrei
Abstract differential inequalities and the Cauchy problem for infinite-dimensional linear functional differential equations
Journal of Inequalities and Applications
author_facet &#352;remr Ji&#345;&#237;
Ront&#243; Andrei
author_sort &#352;remr Ji&#345;&#237;
title Abstract differential inequalities and the Cauchy problem for infinite-dimensional linear functional differential equations
title_short Abstract differential inequalities and the Cauchy problem for infinite-dimensional linear functional differential equations
title_full Abstract differential inequalities and the Cauchy problem for infinite-dimensional linear functional differential equations
title_fullStr Abstract differential inequalities and the Cauchy problem for infinite-dimensional linear functional differential equations
title_full_unstemmed Abstract differential inequalities and the Cauchy problem for infinite-dimensional linear functional differential equations
title_sort abstract differential inequalities and the cauchy problem for infinite-dimensional linear functional differential equations
publisher SpringerOpen
series Journal of Inequalities and Applications
issn 1025-5834
1029-242X
publishDate 2005-01-01
description <p/> <p>We establish optimal, in a sense, unique solvability conditions of the Cauchy problem for a wide class of linear functional differential equations in a Banach space with a solid wedge. The conditions are formulated in terms of certain abstract functional differential inequalities.</p>
url http://www.journalofinequalitiesandapplications.com/content/2005/348549
work_keys_str_mv AT 352remrji345237 abstractdifferentialinequalitiesandthecauchyproblemforinfinitedimensionallinearfunctionaldifferentialequations
AT ront243andrei abstractdifferentialinequalitiesandthecauchyproblemforinfinitedimensionallinearfunctionaldifferentialequations
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