摘要
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 .
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 .
