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Asymptotic Behavior of the Solutions of Stochastic Functional-Differential Equations.
- Source :
-
Journal of Mathematical Sciences . Feb2024, Vol. 278 Issue 6, p1102-1112. 11p. - Publication Year :
- 2024
-
Abstract
- We study the asymptotic behavior at infinity of the solutions of stochastic functional-differential equations by the method of asymptotic equivalence according to which a system of ordinary differential equations is constructed on the basis of the original stochastic system so that each solution of the stochastic system can be associated with a solution of the constructed deterministic system such that the difference between these solutions tends to zero as t → ∞ both in the mean square and with probability 1. [ABSTRACT FROM AUTHOR]
- Subjects :
- *STOCHASTIC systems
*EQUATIONS
Subjects
Details
- Language :
- English
- ISSN :
- 10723374
- Volume :
- 278
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Sciences
- Publication Type :
- Academic Journal
- Accession number :
- 175530075
- Full Text :
- https://doi.org/10.1007/s10958-024-06980-x