In this paper, we are interested in solving multidimensional backwardstochastic differential equations (BSDEs) in $L^p\ (p>1)$ under weakerassumptions on the coefficients, considering both a finite and an infinite timeinterval. We establish a general existence and uniqueness result of solutionsin $L^p\ (p>1)$ to finite and infinite time interval BSDEs with non-Lipschitzcoefficients, which includes the corresponding results in \citet{Par90},\citet{Mao95}, \citet{Chen97}, \citet{Cons01}, \citet{Wang03}, \citet{Chen00}and \citet{Wang09} as its particular cases.
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机译：在本文中，我们有兴趣在系数为弱假设的情况下，同时考虑有限时间间隔和无限时间间隔，求解$ L ^ p \（p> 1）$中的多维倒向随机微分方程（BSDE）。我们建立了具有非Lipschitz系数的有限和无限时间间隔BSDE在$ L ^ p \（p> 1）$中的解的一般存在性和唯一性结果，其中包括\ citet {Par90}，\ citet {Mao95}中的相应结果，\ citet {Chen97}，\ citet {Cons01}，\ citet {Wang03}，\ citet {Chen00}和\ citet {Wang09}作为其特殊情况。
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