UDC 519.217
ON THE NECESSARY AND SUFFICIENT CONDITIONS OF THE STABILITY
IN THE MEAN SQUARE OF THE STRONG SOLUTIONS OF LINEAR STOCHASTIC
DIFFERENTIAL-DIFFERENCE PARTIAL DERIVATIVE EQUATIONS SUBJECT
TO EXTERNAL PERTURBATIONS OF THE TYPE OF RANDOM VARIABLE
Abstract. We obtain the necessary and sufficient conditions for the stability in the mean square of the strong solutions of stochastic differential-difference partial derivative equations with pairwise independent external random distributions of the type of random variables.
Keywords: stochastic partial differential equation, stability in the mean square, random perturbation.
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