Premium
Existence and uniform decay for Euler–Bernoulli beam equation with memory term
Author(s) -
Park Jong Yeoul,
Kim Joung Ae
Publication year - 2004
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.512
Subject(s) - mathematics , bernoulli's principle , term (time) , euler's formula , multiplier (economics) , mathematical analysis , beam (structure) , exponential function , exponential decay , physics , thermodynamics , macroeconomics , quantum mechanics , nuclear physics , optics , economics
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.