ON THE AVERAGING PRINCIPLE FOR SYSTEMS OF STOCHASTIC DIFFERENTIAL EQUATIONS

ON THE AVERAGING PRINCIPLE FOR SYSTEMS OF STOCHASTIC DIFFERENTIAL EQUATIONS
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DOI:
10.1070/sm1991v069n01abeh001237
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发表时间:
1991-02
期刊:
Mathematics of The Ussr-sbornik
影响因子:
--
通讯作者:
A. Veretennikov
A. Veretennikov
中科院分区:
其他
文献类型:
--
作者:
A. Veretennikov

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建立了关于系数可测的Ito随机方程组关于“慢”变量的平均和关于二阶抛物型方程奇摄动Cauchy问题解的极限性态的新定理.参考书目:15种。
New theorems are established about averaging of systems of Ito stochastic equations with coefficients measurable with respect to the "slow" variables, and about the limit behavior of a solution of the corresponding Cauchy problem for a singularly perturbed parabolic equation of second order. Bibliography: 15 titles.