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On existence and an asymptotic behavior of random solutions of a class of stochastic functional-integral equations. (English) Zbl 0625.60071

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.

MSC:

60H20 Stochastic integral equations
47H10 Fixed-point theorems

Citations:

Zbl 0353.60067
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