On the existence and asymptotic behavior of the random solutions of the random integral equation with advancing argument
Henryk Gacki (1996)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Similarity:
1. Introduction Random Integral Equations play a significant role in characterizing of many biological and engineering problems [4,5,6,7]. We present here new existence theorems for a class of integral equations with advancing argument. Our method is based on the notion of a measure of noncompactness in Banach spaces and the fixed point theorem of Darbo type. We shall deal with random integral equation with advancing argument , (t,ω) ∈ R⁺ × Ω, (1) where (i) (Ω,A,P) is a complete probability...