Read full paper at: http://www.scirp.org/journal/PaperInformation.aspx?PaperID=45288#.VL30BSzQrzE Author(s) Hamdin Ahmed Alafif Affiliation(s) Khartoum University, Faculty of Education, Omdurman, Sudan . ABSTRACT 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 ( ; ) = ( )+ ( ,τ ; ) τ , (τ ; ) τ (1.1) where t ≥ 0 and 1) w is appoint of Ω ; 2) h(t;w) is the stochastic free term or free random variable defined for 0 ≤ t and w ∈Ω ; 3) x(t;w) is the unknown random variable for each t ≥ 0 4) the stochastic kernel k(t,τ ;w) is defined for 0 ≤τ ≤ t < ∞ and w ∈Ω . KEYWORDS Volterra Integral , Banach Space , Asymptotic Stability , Poincare-Lyapunov , Telephone Traffic Theory Cite this paper Alafif, H...
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