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Journal of Zhejiang University SCIENCE A

ISSN 1673-565X(Print), 1862-1775(Online), Monthly

2001 Vol.2 No.2 P.161-164

BACKWARD WELLPOSEDNESS OF NONUNIFORM TIMOSHENKO BEAM EQUATION

Dept.of Appl.Math.,Zhejiang University,Hangzhou 310027,China; Dept.of Basic Science,Naval Aeronautical Engineering Academy,Yantai 264001,China

Abstract: In this paper, we consider the Timoshenko equation of a nonuniform beam,with clamped boundary condition at one end and with feedback controls at the other end. It is proved that the system is backward wellposedness when the feedback controls are weak enough.

Key words: backward wellposedness, nonuniform beam, Timoshenko equation, c0-semigroup


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DOI:

10.1631/jzus.2001.0161

CLC number:

O231.4

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Received:

1999-06-18

Revision Accepted:

2000-09-18

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