The Banach fixed point method for Ito stochastic differential equations
Barth, T. ; Kussmaul, A. U.
Annales scientifiques de l'Université de Clermont. Mathématiques, Tome 69 (1981), p. 1-8 / Harvested from Numdam
Publié le : 1981-01-01
@article{ASCFM_1981__69_19_1_0,
     author = {Barth, T. and Kussmaul, A. U.},
     title = {The Banach fixed point method for Ito stochastic differential equations},
     journal = {Annales scientifiques de l'Universit\'e de Clermont. Math\'ematiques},
     volume = {69},
     year = {1981},
     pages = {1-8},
     mrnumber = {645558},
     zbl = {0498.60064},
     language = {en},
     url = {http://dml.mathdoc.fr/item/ASCFM_1981__69_19_1_0}
}
Barth, T.; Kussmaul, A. U. The Banach fixed point method for Ito stochastic differential equations. Annales scientifiques de l'Université de Clermont. Mathématiques, Tome 69 (1981) pp. 1-8. http://gdmltest.u-ga.fr/item/ASCFM_1981__69_19_1_0/

[1] Arnold, L.: Stochastic differential equations: Theory and applications. New York - London: Wiley 1974 | MR 443083 | Zbl 0278.60039

[2] Caratheodory, C.: Vorlesungen über reelle Funktionen. Leipzig: Teubner 1918 | JFM 46.0376.12

[3] Doléans -Dade, C.: On the existence and unicity of solutions of stochastic integral equations. Z. Wahrscheinlichkeitstheorie Verw. Gebiete 36, 93 - 101 (1976) | MR 413270 | Zbl 0343.60038

[4] Friedman, A.: Stochastic differential equations and applications. Vol. 1. New York - London: Academic Press 1975 | MR 494490 | Zbl 0323.60056

[5] Kussmaul, A.U.: Stochastic integration and generalized martingales. Research Notes in Mathematics 11. London- San Francisco - Melbourne: Pitman 1977 | MR 488281 | Zbl 0355.60045

[6] Protter, P.: On the existence, uniqueness, convergence and explosions of solutions of systems of stochastic integral equations. Ann. Probability 5, 2, 243 -261 (1977) | MR 431380 | Zbl 0363.60044

[7] Walter, W.: Gewöhnliche Differentialglelchungen. 2nd edition. Berlin - Heidelberg - New York: Springer 1976 | MR 404729