Solvability of a Stochastic Differential Equation with Nonlocal and Integral Conditions
Автор(ы):
A.M.A. El-Sayed
Faculty of Science
Alexandria University
Alexandria, Egypt
amasayed@alexu.edu.eg
M. E. I. El-Gendy
Faculty of Science
Damanhour University
Behera, Egypt
maysa_elgendy@yahoo.com
Аннотация:
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.
Ключевые слова
- continuous dependence
- integral condition
- nonlocal coefficients
- Nonlocal condition
- random data
- unique mean square solution
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