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1995 Well posedness for damped second-order systems with unbounded input operators
H. T. Banks, K. Ito, Y. Wang
Differential Integral Equations 8(3): 587-606 (1995).

Abstract

We consider damped second order in time systems such as those arising in structures with piezoceramic actuators and sensors. These systems are naturally formulated as abstract second order systems with unbounded nonhomogeneous term. Existence, uniqueness and continuous dependence of solutions in a weak or variational setting are given. A semigroup formulation is presented and conditions under which the variational solutions and semigroup solutions are the same are discussed.

Citation

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H. T. Banks. K. Ito. Y. Wang. "Well posedness for damped second-order systems with unbounded input operators." Differential Integral Equations 8 (3) 587 - 606, 1995.

Information

Published: 1995
First available in Project Euclid: 23 May 2013

zbMATH: 0817.35014
MathSciNet: MR1306577

Subjects:
Primary: 35Q99
Secondary: 34G20, 47N20, 73D35, 93C20

Rights: Copyright © 1995 Khayyam Publishing, Inc.

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Vol.8 • No. 3 • 1995
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