Folia Mathematica, Volume (18), No (1), Year (2013-11) , Pages (11-20)

Title : ( Stability of The Volterra integrodifferential equation )

Authors: Mohammad Janfada , Ghadir Sadeghi ,
File:

Access to full-text not allowed by authors

Citation: BibTeX | EndNote

Abstract

In this paper, the Hyers-Ulam stability of the Volterra integrodifferential equation x\\\'(t)=g(t,x(t))+int_0^tK(t,s,x(s))ds, and the Volterra equation x(t)=g(t,x(t))+int_0^tK(t,s,x(s))ds, on the finite interval [0, T], T>0 , are studied, where the state x(t) take values in a Banach space X.

Keywords

, Hyers, Ulam stability; Volterra integrodifferential equation; Volterra equation; C_0 , semigroup.