Well-posedness and stability for a class of stochastic delay differential equations with singular drift
From MaRDI portal
Publication:4598552
DOI10.1142/S0219493718500193zbMath1381.34104arXiv1608.07534OpenAlexW3099773172MaRDI QIDQ4598552
Publication date: 21 December 2017
Published in: Stochastics and Dynamics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1608.07534
strong solutionstochastic functional differential equationKrylov's estimateZvonkin's transformationsingular drift
Stability theory of functional-differential equations (34K20) Stochastic functional-differential equations (34K50)
Related Items (5)
On the strong Feller property for stochastic delay differential equations with singular drift ⋮ Sharp convex generalizations of stochastic Gronwall inequalities ⋮ One-dimensional SDEs with LPS-type singular drift coefficients and Hölder continuous diffusion coefficients ⋮ Path-distribution dependent SDEs with singular coefficients ⋮ Stochastic functional Hamiltonian system with singular coefficients
Cites Work
- Stochastic differential equations with Sobolev drifts and driven by \(\alpha\)-stable processes
- Stochastic homeomorphism flows of SDEs with singular drifts and Sobolev diffusion coefficients
- Flow of diffeomorphisms for SDEs with unbounded Hölder continuous drift
- Strong solutions of stochastic equations with singular time dependent drift
- Rademacher's theorem for Wiener functionals
- On the uniqueness of solutions of stochastic differential equations
- A STOCHASTIC GRONWALL LEMMA
- Pathwise uniqueness and continuous dependence for SDEs with non-regular drift
- Existence and uniqueness of solutions of stochastic functional differential equations
- On Stochastic Differential Equations with Locally Unbounded Drift
- A TRANSFORMATION OF THE PHASE SPACE OF A DIFFUSION PROCESS THAT REMOVES THE DRIFT
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Well-posedness and stability for a class of stochastic delay differential equations with singular drift