Infinite horizon forward-backward stochastic differential equations
A class of systems of infinite horizon forward-backward stochastic differential equations is investigated. Under some monotonicity assumptions, the existence and uniqueness results are established by means of a homotopy method. The global exponential asymptotical stability is also obtained. A comparison theorem is given.
| Year of publication: |
2000
|
|---|---|
| Authors: | Peng, Shige ; Shi, Yufeng |
| Published in: |
Stochastic Processes and their Applications. - Elsevier, ISSN 0304-4149. - Vol. 85.2000, 1, p. 75-92
|
| Publisher: |
Elsevier |
| Keywords: | Infinite horizon Forward-backward stochastic differential equations Homotopy Global exponential asymptotical stability Lyapunov function |
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