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GENERAL DECAY FOR A DIFFERENTIAL INCLUSION OF KIRCHHOFF TYPE WITH A MEMORY CONDITION AT THE BOUNDARY
Authors:Jum-Ran KANG
Institution:Department of Mathematics, Dong-A University, Busan 604-714, Korea
Abstract:In this article, we consider a differential inclusion of Kirchhoff type with a memory condition at the boundary. We prove the asymptotic behavior of the corresponding solutions. For a wider class of relaxation functions, we establish a more general decay result,from which the usual exponential and polynomial decay rates are only special cases.
Keywords:General decay  differential inclusion  boundary value problem  memory term  relaxation function
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