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

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  • Dongdong Gao
  • Jianli Li
  • Zhiguo Luo
  • Danfeng Luo

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.

Suggested Citation

  • Dongdong Gao & Jianli Li & Zhiguo Luo & Danfeng Luo, 2021. "The Averaging Principle for Stochastic Pantograph Equations with Non-Lipschitz Conditions," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-7, April.
    • Handle: RePEc:hin:jnlmpe:5578936
    DOI: 10.1155/2021/5578936
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