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

doi:10.1016/S0252-9602(14)60044-8

数学物理学报(英文版) ›› 2014, Vol. 34 ›› Issue (3): 729-738.doi: 10.1016/S0252-9602(14)60044-8

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

Jum-Ran KANG

Department of Mathematics, Dong-A University, Busan 604-714, Korea

收稿日期:2012-12-17 出版日期:2014-05-20 发布日期:2014-05-20
基金资助:
This work was supported by the Dong-A University research fund.

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

Jum-Ran KANG

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.

摘要/Abstract

摘要：

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.

关键词: General decay, differential inclusion, boundary value problem, memory term, relaxation function

Abstract:

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

中图分类号:

35B40

Jum-Ran KANG. GENERAL DECAY FOR A DIFFERENTIAL INCLUSION OF KIRCHHOFF TYPE WITH A MEMORY CONDITION AT THE BOUNDARY[J]. 数学物理学报(英文版), 2014, 34(3): 729-738.

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.

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

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

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