Abstract
This chapter discusses a criterion for the uniform asymptotic stability of a class of differential-difference equations. A necessary and sufficient condition for the system of linear differential-difference equations to be uniformly asymptotically stable is the existence of a positive constant M. The chapter presents an assumption where Y denotes the Banach space of continuous n-vector functions defined on [−h, o], whose norm is given by differential equation. Then a necessary and sufficient condition for the differential equation system to be uniformly asymptotically stable is the existence of a continuous bilinear mapping H(·) from (0,∞) → L(Y, Y) that satisfies the two conditions.
Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
