解弦振动方程初始条件的反问题

doi:10.3863/j.issn.1000-2634.1990.01.012

西南石油大学学报(自然科学版) ›› 1990, Vol. 12 ›› Issue (1): 93-98.DOI: 10.3863/j.issn.1000-2634.1990.01.012

解弦振动方程初始条件的反问题

江茂泽吴小庆

数理系

收稿日期:1989-09-25 修回日期:1900-01-01 出版日期:1990-02-20 发布日期:1990-02-20

SOLUTION OF THE INVERSE PROBLEM FOR AN INITIAL CONDITION IN A STRING VIBRATING EQUATION

Jiang Maoze Wu Xiaoqing

Department oF Mathematics and Physics

Received:1989-09-25 Revised:1900-01-01 Online:1990-02-20 Published:1990-02-20

摘要/Abstract

摘要： 文[1]使用抽象半群的处理方法,证明了一根具端点粘滞阻尼的振动弦的初始状态的可辨识性,证明了该系统是谱系统并且可辨识性完全由观测时间长度决定。本文利用特征线法直接求解该辨识问题,得到了该问题的显式解。

关键词: 弦振动方程, 初始条件, 辨识问题, 显式解

Abstract: In Reference (1) an abstract semigroup approach is used to prove the identifiability of the initial state of one vibrating string with viscous damping at end point. It has been proved that the system isa spectral one, and that the identifiability depends completely on the measurement of the observation time interval. In this paper, the characteristic method is used directly to solve this problem of identifiability, and the obvious solution to this problem is obtained.

Key words: A string vibrating equation, Initial condition, Problem of identifiability, Obvious solution

江茂泽吴小庆. 解弦振动方程初始条件的反问题[J]. 西南石油大学学报(自然科学版), 1990, 12(1): 93-98.

Jiang Maoze Wu Xiaoqing. SOLUTION OF THE INVERSE PROBLEM FOR AN INITIAL CONDITION IN A STRING VIBRATING EQUATION[J]. 西南石油大学学报(自然科学版), 1990, 12(1): 93-98.

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解弦振动方程初始条件的反问题

SOLUTION OF THE INVERSE PROBLEM FOR AN INITIAL CONDITION IN A STRING VIBRATING EQUATION

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