On the pathwise uniqueness of solutions of stochastic differential equations driven by symmetric stable Levy processes

被引:2
作者
Belfadli, R. [1 ]
Ouknine, Y. [1 ,2 ]
机构
[1] Cadi Ayyad Univ, Dept Math, Fac Sci Semlalia, Marrakech, Morocco
[2] Hassan II Acad Sci & Technol, Rabat, Morocco
关键词
pathwise uniqueness; stochastic differential equation; time change; alpha-stable Levy process;
D O I
10.1080/17442500802025436
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We investigate a sufficient condition for pathwise uniqueness property for 1D stochastic differential equation driven by symmetric alpha-stable Levy process, where alpha is an element of (1, 2).
引用
收藏
页码:519 / 524
页数:6
相关论文
共 9 条
  • [1] Bass RF, 2003, LECT NOTES MATH, V1801, P302
  • [2] Basset Rene., 1904, Patrologia Orientalis, V1, P1
  • [3] Le J.-F. Gall, 1983, SEM PROB, VXVII, P15
  • [4] Nakao, 1972, OSAKA J MATH, V9, P513
  • [5] Ouknine Y., 1988, Stochastics, V23, P149, DOI 10.1080/17442508808833487
  • [6] Protter Ph., 2004, Stochastic Integration and Differential Equations
  • [7] RONSNSKI J, 1986, ANN PROBAB, V14, P271
  • [8] On the pathwise uniqueness of solutions of stochastic differential equations driven by multi-dimensional symmetric α stable
    Tsuchiya, Takahiro
    [J]. JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, 2006, 46 (01): : 107 - 121
  • [9] Yamada Toshio., 1971, Journal of Mathematics of Kyoto University, V11, P155, DOI [10.1215/kjm/1250523691, DOI 10.1215/KJM/1250523691]