Condition UT et stabilité en loi des solutions d'équations différentielles stochastiques

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1. [1] Avram, F. : Weak convergence of the variations, iterated integrals and Doleans-Dade exponentials of sequences of semimartingales.Ann. Probab.16, 246-250 (1988). Zbl0636.60029MR920268
2. [2] Dellacherie C., Meyer P.A. : Probabilités et potentiel ; tome 2. Paris, Hermann1980. Zbl0464.60001MR566768
3. [3] Hoffman K. : Approximation of stochastic integral equations by martingale difference arrays. (1988) preprint. 
4. [4] Jacod J., Mémin J. : Weak and strong solutions of stochastic differential equations: existence and stability. in "Stochastic Integrals" édité par D. Williams, proc. LMS Durham Symp. 1980. Lect. Notes in Maths851, Springer, Berlin Heidelberg, New-York (1981). Zbl0471.60066MR620991
5. [5] Jacod J., Shiryaev A.N. : Limit theorems for stochastic processes. Springer Verlag, Berlin, (1987). Zbl0635.60021MR959133
6. [6] Jakubowski A., Mémin J., Pagès G. : Convergence en loi des suites d'intégrales stochastiques sur l'espace D1 de Skorokhod. Probab. Th. Rel. Fields81, 111-137 (1989). Zbl0638.60049MR981569
7. [7] Kurtz T.G., Protter P. : Weak limit theorems for stochastic integrals and stochastic differential equations. preprint 1989, à paraitre aux : Annals of Probability (1990). Zbl0742.60053MR1112406
8. [8] Mémin J. : Théorèmes limite fonctionnels pour les processus de vraisemblance (cadre asymptotiquement non gaussien). Public. IRMAR, Rennes1986. Zbl0637.60005MR880367
9. [9] Meyer P.A., Zheng W.A. : Tightness criteria for laws of semimartingales. Ann. Inst. H. Poicaré, Sec. B20, 353-372 (1984). Zbl0551.60046MR771895
10. [10] Slominski L. : Stability of strong solutions of stochastic differential equations. Stochastic Processes and their Applications31, 173-202 (1989). Zbl0673.60065MR998112
11. [11] Strasser H. : Martingale difference arrays and stochastic integrals. Probab. Th. Rel. Fields72, 83-98 (1986). Zbl0575.60043MR835160
12. [12] Stricker C. : Lois de semimartingales et critères de compacité. Séminaires de Probabilités XIX, Lect. Notes in Math. vol 1123, Springer, Berlin Heidelberg New-York (1985). Zbl0558.60005MR889478
13. [13] Yamada K. : A stability theorem for stochastic differential equations and application to stochastic control problems. Stochastics13, 257-279 (1984). Zbl0553.60055MR767254
14. [14] Yamada K. : A stability theorem for stochastic differential equations with application to storage processes, random walks and optimal stochastic control problems. Stochastic Processes and their Applications23 (1986). Zbl0609.60068MR876045
15. [15] Zanzotto P.A. : An extension of a Yamada Theorem. Preprint 1989, à paraitre aux Liet. Mat. Rink.XXX1990. MR1161369
16. [16] Métivier M. : Semimartingales. de Gruyter Studies in Mathematics2. W de Gruyter; Berlin, New York. 1982. Zbl0503.60054MR688144

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