Weak solutions of neutral stochastic functional differential equations in infinite dimensional spaces
In this work we establish existence and uniqueness of weak solutions of nonlinear stochastic functional differential equations of neutral type in Hilbert spaces. We also study the continuous dependence of their solutions on the initial data. Our approach is based on Galerkin approximation scheme.
Authors
- Andriy Stanzhytskyi
- Oleksiy V. Kapustyan (ORCID: https://orcid.org/0000-0002-9373-6812)
- Oleksandr Stanzhytskyi (ORCID: https://orcid.org/0009-0008-7587-1608)
- Oleksandr Pravdyvyi
Institutions
- Taras Shevchenko National University of Kyiv (UA)
- Institute of Mathematics (UA)
Publication Details
- Journal
- Evolution equations and control theory
- Published
- 2025-01-01
- DOI
- https://doi.org/10.3934/eect.2025040
- Primary Topic
- Nonlinear Differential Equations Analysis
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Research Foundation of Ukraine