General stability for a von Kármán plate system with memory boundary conditions

Boundary value problems

Jum-Ran Kang¹ 

[1] Department of Mathematics, Dong-A University, Busan, Korea

关键词: von Kármán plate;    general decay;    memory term;    relaxation function;    convexity;   

DOI  :  10.1186/s13661-015-0431-4

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper we consider a von Kármán plate system with memory condition at the boundary. We prove the asymptotic behavior of the corresponding solutions. We establish an explicit and general decay rate result using some properties of the convex functions. Our result is obtained without imposing any restrictive assumptions on the behavior of the relaxation function at infinity. These general decay estimates extend and improve on some earlier results-exponential or polynomial decay rates.

【 授权许可】

CC BY