Szynal, Dominik; Wȩdrychowicz, Stanisław On existence and an asymptotic behavior of random solutions of a class of stochastic functional-integral equations. (English) Zbl 0625.60071 Colloq. Math. 51, 349-364 (1987). This paper gives new existence theorems for a class of stochastic functional-integral equations treated by A. N. V. Rao and C. P. Tsokos [ibid. 35, 141-146 (1976; Zbl 0353.60067)]. Our method is based on the notion of a measure of noncompactness in Banach spaces and a fixed point theorem of Darbo type. We investigate also the behaviour of solutions at infinity. Cited in 2 Documents MSC: 60H20 Stochastic integral equations 47H10 Fixed-point theorems Keywords:existence theorems; stochastic functional-integral equations; fixed point theorem Citations:Zbl 0353.60067 PDFBibTeX XMLCite \textit{D. Szynal} and \textit{S. Wȩdrychowicz}, Colloq. Math. 51, 349--364 (1987; Zbl 0625.60071) Full Text: DOI