Stability of neutral functional differential equations /

In this monograph the author presents explicit conditions for the exponential, absolute  and  input-to-state stabilities -- including solution estimates -- of certain types of functional differential equations. The main methodology used is based on a combination of recent norm estimates for matrix-v...

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Автор: Gil', Michael I. (Автор)
Співавтор: SpringerLink (Online service)
Формат: eКнига
Мова:English
Опубліковано: Paris Atlantis Press Imprint: Atlantis Press, 2014.
Серія:Atlantis Studies in Differential Equations, 3
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Резюме:In this monograph the author presents explicit conditions for the exponential, absolute  and  input-to-state stabilities -- including solution estimates -- of certain types of functional differential equations. The main methodology used is based on a combination of recent norm estimates for matrix-valued functions, comprising the generalized Bohl-Perron principle, together with its integral version and the positivity of fundamental solutions. A significant part of the book is especially devoted  to the solution of the generalized Aizerman problem.
Фізичний опис:1 online resource (xiii, 304 pages)
ISBN:9789462390911
ISSN:2214-6253 ;