Articles

GENERAL DECAY FOR A DIFFERENTIAL INCLUSION OF KIRCHHOFF TYPE WITH A MEMORY CONDITION AT THE BOUNDARY

  • Jum-Ran KANG
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  • Department of Mathematics, Dong-A University, Busan 604-714, Korea

Received date: 2012-12-17

  Online published: 2014-05-20

Supported by

This work was supported by the Dong-A University research fund.

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.

Cite this article

Jum-Ran KANG . GENERAL DECAY FOR A DIFFERENTIAL INCLUSION OF KIRCHHOFF TYPE WITH A MEMORY CONDITION AT THE BOUNDARY[J]. Acta mathematica scientia, Series B, 2014 , 34(3) : 729 -738 . DOI: 10.1016/S0252-9602(14)60044-8

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