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Stability of Neutral Functional Differential Equations : Atlantis Studies in Differential Equations : Book 3 - Michael I. Gil'

Stability of Neutral Functional Differential Equations

By: Michael I. Gil'

eText | 8 October 2014

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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.

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