
doi: 10.1007/bf01056052
The author obtains sufficient conditions for the stability in probability of the trivial solution to the stochastic differential inclusion \[ du+A(t,u(t))dt+ C(u(t))dt+B(t,u(t))dw(t)\ni 0, \] where \(w(t)\) is a Wiener process in \(R^{d}\), \(A(t,u)\in R^{d}\), \(B(t,u)\in {\mathcal L}(R^{d})\), \({\mathcal L}(R^{d})\) is a space of linear operators in \(R^{d}\), \(C(u)\) is a multivalued monotone operator.
stochastic differential inclusion, Random operators and equations (aspects of stochastic analysis), multivalued monotone operator, stability in probability
stochastic differential inclusion, Random operators and equations (aspects of stochastic analysis), multivalued monotone operator, stability in probability
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