Stability of Differential Equations with Aftereffect presents stability theory for differential equations concentrating on functional differential equations with delay, integro-differential equations, and related topics. The authors provide background material on the modern theory of functional differential equations and introduce some new flexible methods for investigating the asymptotic behaviour of solutions to a range of equations. The treatment also includes some results from the authors' research group based at Perm and provides a useful reference text for graduates and researchers working in mathematical and engineering science.
"The present monograph is an outcome of serious research spread over a few decades. The presentation is very lucid and readers can easily understand the material presented in this monograph. It is the reviewer's opinion that this monograph is a good resource for specialists as well as beginners in this fascinating field."
-Mathematical Reviews, Issue 2004f
Functional Differential Equations. Linear Analysis of D-Stability. Cauchy Matrix and Stability Condition. Bohl-Perron Type Theorems. Nonlinear Systems.