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Stability of Neutral Functional Differential Equations

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概要 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.続きを見る
目次 Preliminaries
Eigenvalues and Functions of Matrices
Difference Equations with Continuous Time
Linear Differential Delay Equations
Linear Autonomous NDEs
Linear Time-variant NDEs
Nonlinear Vector NDEs
Absolute Stability of Scalar NDEs
Bounds for Characteristic Values of NDEs.
本文を見る Full text available from Springer Mathematics and Statistics eBooks 2014 English/International

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登録日 2020.06.27
更新日 2020.06.28