Approximations of Solutions of Stochastic Differential Equations Driven by Semimartingales
Protter, Philip
Ann. Probab., Tome 13 (1985) no. 4, p. 716-743 / Harvested from Project Euclid
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The classical results on the instability of the solutions of stochastic differential equations are extended in two directions: the coefficients are allowed to depend on the paths of the solutions, and arbitrary semimartingales (not simply continuous ones) are allowed as differentials. This extends the results of Wong and Zakai, McShane, Nakao and Yamato, etc.
Publié le : 1985-08-14
Classification:  Stochastic differential equations,  semimartingale,  Stratonovich integrals,  60H10,  60H20 
@article{1176992905,
     author = {Protter, Philip},
     title = {Approximations of Solutions of Stochastic Differential Equations Driven by Semimartingales},
     journal = {Ann. Probab.},
     volume = {13},
     number = {4},
     year = {1985},
     pages = { 716-743},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1176992905}
}

Protter, Philip. Approximations of Solutions of Stochastic Differential Equations Driven by Semimartingales. Ann. Probab., Tome 13 (1985) no. 4, pp.  716-743. http://gdmltest.u-ga.fr/item/1176992905/