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在GTM循环质量链的振动中谱的递增性
引用本文:商朋见.在GTM循环质量链的振动中谱的递增性[J].应用数学和力学,1995,16(7):603-608.
作者姓名:商朋见
作者单位:北方交通大学应用数学系 北京 100044
摘    要:将广义Thue-Morse列引入等强度弹簧连结起来的质量链的振动问题,证明了该振动模型对应的线性算子的谱An具有递增性。

关 键 词:线性算子        广义Thue-Morse代换    振动方程
收稿时间:1994-05-07

Increasing Property of Spectrum in the Vibrations of a Cyclic Chain of Masses Distributed According to the GTM Sequence
Shang Pengiian.Increasing Property of Spectrum in the Vibrations of a Cyclic Chain of Masses Distributed According to the GTM Sequence[J].Applied Mathematics and Mechanics,1995,16(7):603-608.
Authors:Shang Pengiian
Institution:Department of Applied Mathematics, Northern Jiaotong University, Beijinn 100044
Abstract:Generalized Thue-Morse sequences are introduced into vibrational question of a chain of masses linked by springs of constant strength,and increasing propertyis proven of spectrum of linear operator Tn about the vibrational model.
Keywords:linear operator  spectrum  generalized Thue-Morse substitution  vibra-tional equation
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