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Русская версия

**A.M.A. El-Sayed**

Faculty of Science

Alexandria University

Alexandria, Egypt

**M. E. I. El-Gendy**

Faculty of Science

Damanhour University

Behera, Egypt

In this paper we are concerned with a stochastic differential equation with nonlocal condition. We study the existence of a unique mean square continuous solution. The continuous dependencies of the solution with respect to the random initial value and deterministic coefficients of the nonlocal condition are shown. A stochastic differential equation with an integral condition is considered as well.

- continuous dependence
- integral condition
- nonlocal coefficients
- Nonlocal condition
- random data
- unique mean square solution

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