| MEMS中非线性微分方程能量极小解的存在性(英文) |
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| 引用本文： | 张瑞凤,李娜.MEMS中非线性微分方程能量极小解的存在性(英文)[J].河南大学学报(自然科学版),2012,42(2):111-116. |
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| 作者姓名： | 张瑞凤 李娜 |
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| 作者单位： | 1. 河南大学现代数学研究所,河南开封475004;河南大学数学与信息科学学院,河南开封475004
2. 河南理工大学万方科技学院(郑州校区),郑州,451400 |
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| 基金项目： | Supported by the Natural Foundation of Henan Province(112300410054) |
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| 摘 要： | 考虑某些带有逆平方型非线性项的四阶微分方程,这些方程出现在热门的微电子机械系统(MEMS)领域.本文将应用变分方法,证明这类问题能量极小解的存在性.
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| 关 键 词： | 静电激发器 变分方法 非线性微分方程 MEMS |
Existence of Energy-Minimizing Solutions of Nonlinear Differential Equations Arising in MEMS |
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| ZHANG Rui-feng
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LI Na.Existence of Energy-Minimizing Solutions of Nonlinear Differential Equations Arising in MEMS[J].Journal of Henan University(Natural Science),2012,42(2):111-116. |
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| Authors: | ZHANG Rui-feng LI Na |
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| Institution: | 1.a.Institute of Contemporary Mathematics b.College of Mathematics and Information Science,Henan University,Kaifeng 475004,China;2.Wan Fang College of Science Technology HPU,Zhengzhou 451400,China) |
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| Abstract: | This paper considers some fourth-order differential equations with inverse-square type nonlinearities modeling MEMS actuators which are of contemporary interest.The purpose of the present paper is to prove the existence of energy-minimizing solutions of some model equations by the method of calculus of variations. |
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| Keywords: | electrostatic actuators calculus of variations nonlinear differential equations MEMS |
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