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

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 inequal...

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Bibliographic Details
Published in:Mathematical methods in the applied sciences 2004-09, Vol.27 (14), p.1629-1640
Main Authors: Park, Jong Yeoul, Kim, Joung Ae
Format: Article
Language:English
Subjects:
a priori estimate
Euler-Bernoulli beam equation
Exact sciences and technology
existence of solution
Mathematical analysis
Mathematics
non-linear boundary
Numerical analysis
Numerical analysis. Scientific computation
Partial differential equations
Partial differential equations, boundary value problems
Sciences and techniques of general use
uniform decay
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Summary: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.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.512