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Existence and uniform decay for Euler–Bernoulli beam equation with memory term

✍ Scribed by Jong Yeoul Park; Joung Ae Kim

Publisher: John Wiley and Sons
Year: 2004
Tongue: English
Weight: 106 KB
Volume: 27
Category: Article
ISSN: 0170-4214
DOI: 10.1002/mma.512

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✦ Synopsis

Abstract

In this article we prove the existence of the solution to the mixed problem for Euler–Bernoulli beam equation with memory term. The existence is proved by means of the Faedo–Galerkin method and the exponential decay is obtained by making use of the multiplier technique combined with integral inequalities due to Komornik. Copyright © 2004 John Wiley & Sons, Ltd.

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