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We derive sufficient conditions for the differentiability of all orders for the flow of stochastic differential equations with jumps, and prove related $L^p$-integrability results for all orders.
Présentation unifiée de certaines inégalités de la théorie des martingales
E. Lenglart, D. Lépingle, and M. Pratelli · 1980
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Stochastic integrators with stationary independent increments
K. Bichteler · 1981
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Calcul de Malliavin pour les diffusions avec sauts : existence d’une densité dans le cas unidimensionnel (in french) [malliavin calculus for diffusions with jumps: existence of a density in the one-dimensional case]
K. Bichteler and J. Jacod · 1983
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Majorations dans
M. Pratelli · 1983
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Stochastic differential equations and stochastic flows of diffeomorphisms
H. Kunita · 1984
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The Malliavin calculus for pure jump processes and applications to local time
R.F. Bass and M. Cranston · 1986
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Malliavin Calculus for Processes with Jumps
K. Bichteler, J.B. Gravereaux, and J. Jacod · 1987
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Stochastic periodic solutions of stochastic differential equations driven by Lévy process
X. Zhang, K. Wang, and D. Li · 2015
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Threshold of a stochastic SIR epidemic model with Lévy jumps
Y. Zhou and W. Zhang · 2016
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Theory of stochastic differential equations with jumps and applications
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