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The Global Solutions and Moment Boundedness of Stochastic Multipantograph Equations

机译:随机受电弓方程的整体解和矩有界性

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摘要

We consider the existence of global solutions and their moment boundedness for stochastic multipantograph equations. By the idea of Lyapunov function, we impose some polynomial growth conditions on the coefficients of the equation which enables us to study the boundedness more applicably. Methods and techniques developed here have the potential to be applied in other unbounded delay stochastic differential equations.
机译:我们考虑了随机受电弓方程的整体解的存在性和它们的矩有界性。根据李雅普诺夫函数的思想,我们在方程的系数上施加了多项式增长条件,这使我们能够更实用地研究有界性。本文开发的方法和技术有可能应用于其他无界时滞随机微分方程。

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  • 来源
    《Journal of control science and engineering》 |2016年第1期|6862028.1-6862028.10|共10页
  • 作者单位

    State Engineering Research Center of Numerical Control System, Huazhong University of Science and Technology,Wuhan 430074, China;

    Postdoctoral Research Station of Zhongnan University of Economics and Law, Wuhan 430073, China,School of Statistics, Hubei University of Economics, Wuhan 430205, China;

    State Engineering Research Center of Numerical Control System, Huazhong University of Science and Technology,Wuhan 430074, China;

    State Engineering Research Center of Numerical Control System, Huazhong University of Science and Technology,Wuhan 430074, China;

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