Bingjun Wang, Hongjun Gao
Published 2018-01-10Version 1
In this paper, BDG-type inequality for G-stochastic calculus with respect to G-Levy process is obtained and solutions of stochastic differential equations driven by G-Levy process under non-Lipschitz condition are constructed. Moreover, we establish the mean square exponential stability and quasi sure exponential stability of the solutions be means of G-Lyapunov function method. An example is presented to illustrate the efficiency of the obtained results.
Comments: arXiv admin note: substantial text overlap with arXiv:1211.2973 by other authors
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