%0 Journal Article
%T Random Integral Equation of the Volterra Type with Applications
%A Hamdin Ahmed Alafif
%J Journal of Applied Mathematics and Physics
%P 138-149
%@ 2327-4379
%D 2014
%I Scientific Research Publishing
%R 10.4236/jamp.2014.25018
%X In this paper we shall present some of the most general results which have been obtained to date concerning random integral equations of the Volterra type. Some results of Tsokos [4] are given for the random integral equation; ÷ ( ) t x t w h t w k t w f x w d 0 ( ; ) = ( )+ ( ,而 ; ) 而 , (而 ; ) 而 (1.1) where t ≡ 0 and 1) w is appoint of 次 ; 2) h(t;w) is the stochastic free term or free random variable defined for 0 ≒ t and w ﹋次 ; 3) x(t;w) is the unknown random variable for each t ≡ 0 4) the stochastic kernel k(t,而 ;w) is defined for 0 ≒而 ≒ t < ﹢ and w ﹋次 .
%K Volterra Integral
%K Banach Space
%K Asymptotic Stability
%K Poincare-Lyapunov
%K Telephone Traffic Theory
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=45288