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

Dongdong Gao, Jianli Li, Zhiguo Luo and Danfeng Luo

Mathematical Problems in Engineering, 2021, vol. 2021, 1-7

Abstract:

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.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:5578936

DOI: 10.1155/2021/5578936

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