Well-Posedness of the Cauchy Problem for Stochastic Evolution Functional Equations
- Authors: Vas’kovskii M.M.1
-
Affiliations:
- Belarusian State University
- Issue: Vol 54, No 6 (2018)
- Pages: 775-789
- Section: Partial Differential Equations
- URL: https://journal-vniispk.ru/0012-2661/article/view/154774
- DOI: https://doi.org/10.1134/S001226611806006X
- ID: 154774
Cite item
Abstract
We prove the existence, uniqueness, and continuous dependence on the initial data of the solutions of the Cauchy problem for stochastic evolution functional equations with random coefficients in Hilbert spaces. We propose a method for constructing an approximating sequence for the solution of the Cauchy problem and obtain an estimate for the rate of convergence to the exact solution.
About the authors
M. M. Vas’kovskii
Belarusian State University
Author for correspondence.
Email: vaskovskii@bsu.by
Belarus, Minsk, 220030
Supplementary files
