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Energy decay of solutions for an extensible beam equation with a weak nonlinear dissipation
Authors:Jum‐Ran Kang
Affiliation:Department of Mathematics, Dong‐A University, , Busan, 604‐714 Korea
Abstract:In this paper, we study the decay property of the solutions to an extensible beam equation with a weak nonlinear dissipation. We establish an explicit and general decay result, depending on nonlinear function g and positive function σ, using some properties of convex functions. Copyright © 2012 John Wiley & Sons, Ltd.
Keywords:Kirchhoff's beam  weak nonlinear dissipative term  multiplier method
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