TOMÁŠ BÁRTA

Laplace transform and semigroup approach to integrodifferential equations

Pages 1-17
Received: 13 January 2004   
Revised: 28 May 2004
Mathematics Subject Classification (2000): 45D05 - 44A10 - 47D06 - 35B40 - 34G10

Work supported by GACR 201/02/0597 and MSM 113200007

Abstract: The purpose of this paper is to compare the results on abstract Volterra integrodifferential equations obtained by two different methods and to apply these results to a viscoelastic problem. In particular, we focus on the asymptotic behaviour of the solutions.