Existence of solution for stochastic differential equations driven by G-Lévy process with discontinuous coefficients

Author:

Wang Bingjun,Yuan Mingxia

Funder

National Natural Science Foundation of China

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Algebra and Number Theory,Analysis

Reference14 articles.

1. Peng, S: Filtration consistent nonlinear expectations and evaluations of contingent claims. Acta Math. Appl. Sinica (Engl. Ser.) 20, 1-24 (2004)

2. Peng, S: G-Expectations, G-Brownian motion and related stochastic calculus of Itô’s type. In: Benth, FE, Di Nunno, G, Lindstrom, T, Øksendal, B, Zhang, T (eds.) Proceedings of the 2005 Abel Symposium, pp. 541-567. Springer, Berlin (2006). Preprint version in: arXiv:math/0601035v2

3. Hu, M, Peng, S: G-Lévy processes under sublinear expectations. arXiv:0911.3533v1

4. Ren, L: On representation theorem of sublinear expectation related to G-Lévy processes and paths of G-Lévy processes. Stat. Probab. Lett. 83, 1301-1310 (2013)

5. Paczka, K: Itô calculus and jump diffusions for G-Lévy processes. arXiv:1211.2973v3

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