Stochastic differential equations with jump reflection at time-dependent barriers
We study existence, uniqueness and approximation of solutions of stochastic differential equations with jump reflection at time-dependent barriers. The basic idea in proofs consists in applying new existence and stability theorems on deterministic one-dimensional Skorokhod problem. Our results are new even in the classical case of one reflecting barrier.
Year of publication: |
2010
|
---|---|
Authors: | Slominski, Leszek ; Wojciechowski, Tomasz |
Published in: |
Stochastic Processes and their Applications. - Elsevier, ISSN 0304-4149. - Vol. 120.2010, 9, p. 1701-1721
|
Publisher: |
Elsevier |
Keywords: | Skorokhod problem Reflecting stochastic differential equations Time-dependent reflecting barriers |
Saved in:
Saved in favorites
Similar items by person
-
On stability and existence of solutions of SDEs with reflection at the boundary
Rozkosz, Andrzej, (1997)
-
On approximation of solutions of multidimensional SDE's with reflecting boundary conditions
Slominski, Leszek, (1994)
-
On weak approximations of integrals with respect to fractional Brownian motion
Slominski, Leszek, (2009)
- More ...