Exponential Stability of Solutions for Higher Order Abstract Cauchy Problems*

This paper investigates the condition ensuring the exponential stability of solutions for the following higher order abstract Cauchy problem ¡ ny1 ~u n. t.qi s0 Aiu i. t.s0, tG0 ). ¢u j. 0.suj, 0FjFny1, where A0, . . . , Any1 are linear operators in a complex Banach space E. New, concise criteria are obtained.