Generalized BSDEs for time inhomogeneous Lévy processes under non-deterministic Lipschitz coefficient

Q4 Mathematics Theory of Stochastic Processes Pub Date : 2022-12-27 DOI:10.37863/tsp-3130168706-50
M. El Jamali
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Abstract

In this paper, we study the generalized backward stochastic differential equations driven by inhomogeneous Lévy processes (GBSDELs in short). We establish the existence and uniqueness of solution by using Picard's iteration setting under non-deterministic Lipschitz and monotone condition.
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非确定性Lipschitz系数下时间非齐次lsamvy过程的广义BSDEs
研究了非齐次lsamvy过程驱动的广义后向随机微分方程(简称GBSDELs)。在非确定性Lipschitz和单调条件下,利用Picard迭代集建立了解的存在唯一性。
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来源期刊
Theory of Stochastic Processes
Theory of Stochastic Processes Mathematics-Applied Mathematics
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