On the Existence, Uniqueness, and Stability Behavior of a Random Solution to a Nonlinear Perturbed Stochastic Integro-Differential Equation

Abstract

where ' denotes the sample path derivitive; ~o, the sample point of a complete probability measure space (D, .d, P) and fl(t; 02), a martingale adapted to an increasing family of sub-or-algebras //t in A. Conditions which guarantee the existence and uniqueness of a random solution are obtained using functional analytic techniques. Also, the stability and… (More)
DOI: 10.1016/S0019-9958(75)90074-1

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