Abstract

in an abstract Wiener space (i, H, B), where w(s) is a B-valued Wiener process. The first integral is in the sense of Ito (see Kuo [5]) and the second is in the sense of Bochner. The determinist case is discussed by Chen [ 1 ] and a finite dimensional stochastic case is discussed by Kravec (3,4]. Conditions which guarantee the convergence in maximal quadratic mean of Picard’s successive approximations to a solution of (1.1) are given. Our assumptions made on rp, Ki are like that of Chen [ 11.

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