Lp (p ＞ 1) Solutions of BSDEs with Generators Satisfying Some Non-uniform Conditions in t and ω

• 作 者: Yajun LIU Depeng LI Shengjun FAN
• 机 构: School of Mathematics, China University of Mining and Technology, Xuzhou 221116, Jiangsu, China“,”Sc
• 出 处: 数学年刊B辑（英文版）
• 发表日期: 2020年3期
• 关键词: Backward stochastic differential equation Existence and uniqueness Comparison th

This paper is devoted to the Lp (p ＞ 1) solutions of one-dimensional backward stochastic differential equations (BSDEs for short) with general time intervals and generators satisfying some non-uniform conditions in t and ω.An existence and uniqueness result,a comparison theorem and an existence result for the minimal solutions are respectively obtained,which considerably improve some known works.Some classical techniques used to deal with the existence and uniqueness of Lp (p ＞ 1) solutions of BSDEs with Lipschitz or linear-growth generators are also developed in this paper.