Acta mathematica scientia,Series B ›› 2014, Vol. 34 ›› Issue (3): 729-738.doi: 10.1016/S0252-9602(14)60044-8

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

Jum-Ran KANG   

  1. Department of Mathematics, Dong-A University, Busan 604-714, Korea
  • Received:2012-12-17 Online:2014-05-20 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.

Key words: General decay, differential inclusion, boundary value problem, memory term, relaxation function

CLC Number: 

  • 35B40
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