General decay for weak viscoelastic Kirchhoff plate equations with delay boundary conditions

Boundary value problems

Sun-Hye Park¹  Jum-Ran Kang² 

[1] Center for Education Accreditation, Pusan National University, Busan, Korea;Department of Mathematics, Dong-A University, Busan, Korea

关键词: Kirchhoff plate;    relaxation function;    general decay;    memory term;    time-varying delay;   

DOI  :  10.1186/s13661-017-0820-y

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

We consider a weak viscoelastic Kirchhoff plate model with time-varying delay in the boundary. By using a suitable energy and Lyapunov function, we obtain a decay rate for the energy, which depends on the behavior of g and α.

【 授权许可】

CC BY