Stability of Neutral Functional Differential Equations (Atlantis Studies in Differential Equations 3 2014 ed.)

Stability of Neutral Functional Differential Equations (Atlantis Studies in Differential Equations 3 2014 ed.)

By: Michael I. Gil' (author)Hardback

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Description

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.

Contents

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.

Product Details

  • ISBN13: 9789462390904
  • Format: Hardback
  • Number Of Pages: 304
  • ID: 9789462390904
  • weight: 6033
  • ISBN10: 9462390908
  • edition: 2014 ed.

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