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Identification problem for a one-dimensional vibrating system

✍ Scribed by Igor Trooshin; Masahiro Yamamoto

Publisher
John Wiley and Sons
Year
2005
Tongue
English
Weight
187 KB
Volume
28
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

We discuss an inverse problem of determining a coefficient matrix and an initial value for a one‐dimensional non‐symmetric hyperbolic system of the first order by means of boundary values over a time interval. Provided that a time interval is sufficiently long and a given initial value satisfies some non‐degeneracy condition, we characterize coefficient matrices and initial values realizing the same boundary values. In the case where the initial value is fixed, we can prove the uniqueness in determining all the components of the coefficient matrices. The proof is based on a transformation formula and spectral properties. Copyright Β© 2005 John Wiley & Sons, Ltd.

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