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Stochastics
An International Journal of Probability and Stochastic Processes
Volume 80, 2008 - Issue 6
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Original Articles

On the pathwise uniqueness of solutions of stochastic differential equations driven by symmetric stable Lévy processesFootnote1

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Pages 519-524 | Received 07 Nov 2007, Accepted 29 Feb 2008, Published online: 20 Oct 2008

References

  • Bass , R.F. 2003 . Stochastic differential equations driven by symmetric stable processes . Séminaire de Probabilités , XXXVI : 302 – 313 . Lectures given at University of Connecticut, Storrs, CT
  • Bass , R.F. 2004 . Stochastic differential equations with jumps . Probab. Surv. , 1 : 1 – 19 .
  • Le Gall , J.F. 1983 . Application du temps local aux equations differentielles stochastiques unidimensionnelles . Séminaire de Probabilités de Strasbourg , 17 : 15 – 31 .
  • Nakao , S. 1972 . On the pathwise uniqueness of solutions of stochastic differential equations . Osaka J. Math. , 9 : 513 – 518 .
  • Ouknine , Y. 1988 . Généralisation d'un lemme de S. Nakao et applications . Stochastics , 23 ( 2 ) : 149 – 157 .
  • Protter , P. 1990 . Stochastic Integration and Differential Equations, A New Approach , Berlin : Springer .
  • Ronsnski , J. and Woyczynski , W.A. 1986 . On Itô stochastic integration w.r.t p-stable motion: Inner clock, integrability of sample paths, double and multiple integrals I . Ann. Prob. , 14 : 271 – 286 .
  • Tsuchiya , T. 2006 . On the uniqueness of solutions of stochastic differential equations driven by multidimensional symmetric α stable class . J. Math. Kyoto Univ. , 46 ( 1 ) : 107 – 121 .
  • Yamada , T. and Watanabe , S. 1971 . On the uniqueness of solutions of stochastic differential equations . J. Math. Kyoto Univ. , 11 : 155 – 167 .

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