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气泡振动Noltingk-Neppiras方程的解析解的存在性
引用本文:魏美丽.气泡振动Noltingk-Neppiras方程的解析解的存在性[J].榆林高等专科学校学报,2008,18(6):35-36.
作者姓名:魏美丽
作者单位:榆林学院数学与应用数学系,陕西榆林719000
摘    要:从Noltingk—Neppiras方程出发,考察了存在外加声场情况下的单气泡非线性振动方程。从理论上证明了该气泡振动方程周期解的存在性,并给出了方程的解析解。

关 键 词:Nohingk—Neppiras方程  非线性振动方程  解析解

On the Existence of the Analytical Solutions of Bubble Vibration Noltingk-Neppiras Equation
WEI mei-li.On the Existence of the Analytical Solutions of Bubble Vibration Noltingk-Neppiras Equation[J].Journal of Yulin College,2008,18(6):35-36.
Authors:WEI mei-li
Institution:WEI mei - li (Department of Mathematics and Applied Mathematics, Yulin University, Yulin 719000, Shaanxi)
Abstract:This article, beginning with Noltingk - Neppiras equation, discusses the existence of additional sound field under a single bubble nonlinear vibration equation. It proves in theory the existence of periodic solutions of the bubble vibration equation, and provides the analytic solution to the equation.
Keywords:Noltingk - Neppiras equation  nonlinear vibration equation  analytical solutions
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