Title : ( Stability of The Volterra integrodifferential equation )
Authors: Mohammad Janfada , Ghadir Sadeghi ,
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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.
@article{paperid:1037132,
author = {Janfada, Mohammad and Ghadir Sadeghi},
title = {Stability of The Volterra integrodifferential equation},
journal = {Folia Mathematica},
year = {2013},
volume = {18},
number = {1},
month = {November},
issn = {0208-6204},
pages = {11--20},
numpages = {9},
keywords = {Hyers-Ulam stability; Volterra integrodifferential equation; Volterra equation; C_0 -semigroup.},
}
%0 Journal Article
%T Stability of The Volterra integrodifferential equation
%A Janfada, Mohammad
%A Ghadir Sadeghi
%J Folia Mathematica
%@ 0208-6204
%D 2013
