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Reflected stochastic differential equations driven by G-Brownian motion with nonlinear resistance 被引量:1

Reflected stochastic differential equations driven by G-Brownian motion with nonlinear resistance
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摘要 We study the uniqueness and existence of solutions of reflected G-stochastic differential equations (RGSDEs) with nonlinear resistance under an integral-Lipschitz condition of coefficients. Moreover, we obtain the comparison theorem for RGSDEs with nonlinear resistance. We study the uniqueness and existence of solutions of reflected G-stochastic differential equations (RGSDEs) with nonlinear resistance under an integral-Lipschitz condition of coefficients. Moreover, we obtain the comparison theorem for RGSDEs with nonlinear resistance.
作者 Peng LUO
出处 《Frontiers of Mathematics in China》 SCIE CSCD 2016年第1期123-140,共18页 中国高等学校学术文摘·数学(英文)
基金 The author would like to thank the referees for their careful reading and helpful suggestions. This work was partially supported by the China Scholarship Council (No. 201306220101), the National Natural Science Foundation of China (Grant No. 11221061), and the Programme of Introducing Talents of Discipline to Universities of China (No. B12023).
关键词 G-Brownian motion G-EXPECTATION reflected G-stochasticdifferential equation (RGSDE) nonlinear resistance comparison theorem G-Brownian motion, G-expectation, reflected G-stochasticdifferential equation (RGSDE), nonlinear resistance, comparison theorem
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