Gil’ M.I. Stability of Neutral Functional Differential Equations

Atlantis Press, 2014. — 311 p. — (Atlantis Studies in Differential Equations 03). — ISBN: 978-94-6239-090-4.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-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.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