The Averaging Principle for Stochastic Pantograph Equations with Non-Lipschitz Conditions

Gao Dongdong; Li Jianli; Luo ZhiguoLuo Danfeng

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The Averaging Principle for Stochastic Pantograph Equations with Non-Lipschitz Conditions

机译：The Averaging Principle for Stochastic Pantograph Equations with Non-Lipschitz Conditions

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This paper is devoted to presenting an averaging principle for stochastic pantograph equations. Under suitable non-Lipschitz conditions, the solutions to stochastic pantograph equations can be approximated by solutions to averaged stochastic systems in the mean-square sense and probability. At last, an example is given to demonstrate the feasibility of obtained results. Moreover, our results have generalized significantly some previous ones.

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《Mathematical Problems in Engineering: Theory, Methods and Applications》 |2021年第18期|5578936.1-5578936.7|共7页
作者
Gao Dongdong; Li Jianli; Luo ZhiguoLuo Danfeng;
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Tongling Univ, Dept Math & Comp Sci, Tongling 244000, Anhui, Peoples R China;

Hunan Normal Univ, Coll Math & Stat, Changsha 410081, Hunan, Peoples R China;

Guizhou Univ, Dept Math, Guiyang 550025, Guizhou, Peoples R China;

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The Averaging Principle for Stochastic Pantograph Equations with Non-Lipschitz Conditions

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