Extreme values, first hitting time and time integral of solution of uncertain spring vibration equation

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Extreme values, first hitting time and time integral of solution of uncertain spring vibration equation

机译：极端值，第一次击中春季振动方程解的解决时间和时间积分

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Uncertain spring vibration equations modell the vibration of a spring subjected to a time varying external force driven by the Liu process. In this paper, we investigate uncertainty distributions of the extreme values, first hitting time, and time integral of solutions to uncertain spring vibration equations. Moreover, a numerical algorithm is designed to obtain the extreme values, and numerical examples are presented to illustrate the effectiveness of the proposed algorithm.

机译：不确定的弹簧振动方程式模拟弹簧的振动经受由Liu工艺驱动的时变不同的外力。在本文中，我们研究了对不确定弹簧振动方程的极端值，首次打击时间和时间积分的不确定性分布。此外，设计了一种数值算法以获得极端值，并且提出了数值示例以说明所提出的算法的有效性。

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《Journal of intelligent & fuzzy systems: Applications in Engineering and Technology》 |2020年第3期|共11页
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正文语种 eng
中图分类自动化系统;
关键词
Uncertain differential equation; spring vibration equation; extreme value; first hitting time; time integral;

机译：不确定的微分方程;弹簧振动方程;极值;首次打击时间;时间积分;

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1. Extreme values, first hitting time and time integral of solution of uncertain spring vibration equation [J] . Journal of intelligent & fuzzy systems: Applications in Engineering and Technology . 2020,第3期

机译：极端值，第一次击中春季振动方程解的解决时间和时间积分
2. Extreme values and integral of solution of uncertain differential equation [J] . Kai Yao Journal of Uncertainty Analysis and Applications . 2013,第1期

机译：不确定微分方程解的极值和积分
3. First hitting time about solution for an uncertain fractional differential equation and application to an uncertain risk index model [J] . Jin Ting, Zhu Yuanguo Chaos, Solitons and Fractals: Applications in Science and Engineering: An Interdisciplinary Journal of Nonlinear Science . 2020,第1期

机译：关于不确定分数微分方程和应用于不确定风险指数模型的解决方案的首次打击时间
4. An efficient way to determine stability and find solutions of the late-time currents for the time-domain electric-field integral-equation based march-on-time method [C] . Jinyan Li, Yanwen Zhao, Chen Zhizhang David 2014 International Conference on Numerical Electromagnetic Modeling and Optimization for RF, Microwave, and Terahertz Applications . 2014

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7. Extreme values and integral of solution of uncertain differential equation [O] . Kai Yao 2013

机译：不确定微分方程解的极值和积分

Extreme values, first hitting time and time integral of solution of uncertain spring vibration equation

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