대한수학회지 (Journal of the Korean Mathematical Society)

  • 제59권2호
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  • Pages.279-298
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  • 2022
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  • 0304-9914(pISSN)
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  • 2234-3008(eISSN)
대한수학회 (Korean Mathematical Society)
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MOMENT ESTIMATE AND EXISTENCE FOR THE SOLUTION OF NEUTRAL STOCHASTIC FUNCTIONAL DIFFERENTIAL EQUATION

  • Chen, Huabin (Department of Mathematics School of Mathematics and Computer Nanchang University) ;
  • Wan, Qunjia (Department of Mathematics School of Mathematics and Computer Nanchang University)
  • 투고 : 2021.02.16
  • 심사 : 2021.08.19
  • 발행 : 2022.03.01
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초록

In this paper, the existence and uniqueness for the global solution of neutral stochastic functional differential equation is investigated under the locally Lipschitz condition and the contractive condition. The implicit iterative methodology and the Lyapunov-Razumikhin theorem are used. The stability analysis for such equations is also applied. One numerical example is provided to illustrate the effectiveness of the theoretical results obtained.

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과제정보

This work was financially supported by the National Natural Science Foundation of China (62163027), and the Natural Science Foundation of Jiangxi Province of China (20171BCB23001).

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