对于描述两端固定的张紧着的弦的横振动的Kirchhoff方程的初边值问题,当初始位移和速度均为有限正弦级数时,用多重尺度法求得近似解的首项,并用积分方程和非线性Gronwall不等式对所得结果进行误差估计。
Abstract
We consider the initialboundary value problem for the Kirchhoff equation describing the transversal vibrations of a clamped string with fixed ends. In the case when the initial displacement and velocity are represented by the finitedimensional Fourier sine series, a firstterm approximate solution is constructed via the method of multiple scales and the error of the approximate solution is estimated by using integral equations and a nonlinear Gronwall inequality.
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参考文献
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脚注
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