Michael I. Gil', "Stability of Neutral Functional Differential Equations"
English | 2014 | ISBN: 9462390908 | PDF | pages: 311 | 3.9 mb
English | 2014 | ISBN: 9462390908 | PDF | pages: 311 | 3.9 mb
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.