This paper is concerned with existence, uniqueness, and almost sure exponential stability of solutions to nonlinear stochastic system with Markovian switching and Lévy noises. Firstly, the existence and uniqueness of solutions to the system is studied. Then, the almost sure exponential stability of the system is derived. Finally, an example is presented to illustrate the results.

中文翻译：

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具有马尔可夫切换和Lévy噪声的非线性随机系统解的存在性，唯一性和几乎肯定的指数稳定性

本文关注具有马尔可夫切换和Lévy噪声的非线性随机系统解的存在性，唯一性和几乎确定的指数稳定性。首先，研究了系统解的存在性和唯一性。然后，得出系统的几乎确定的指数稳定性。最后，给出一个例子来说明结果。