摘要
研究一类具有强阻尼和强时滞作用的粘弹性波动方程|u_t|~ρu_(tt)-Δu-Δu_(tt)+∫_0~tg(t-s)Δu(s)ds-μ_1Δu_t-μ_2Δu_t(t-τ)=0的初边值问题,当μ_1、μ_2和记忆核g满足一定条件时,利用Faedo-Galerkin方法证明了解的整体存在性.
In this paper,we consider a class of viscoelastic wave equation with strong damping and strong delay|ut|~ρu(tt)-Δu-Δu(tt)+∫0~tg(t-s)Δu(s)ds-μ1Δut-μ2Δut(t-τ)=0 in a bounded domain.By using Faedo-Galerkin method,we obtain the global existence of the solution to the problem under suitable conditions onμ1,μ2 and the memory kernel g.
作者
刁林
DIAO Lin(College of Computer Science and Technology, Shangqiu University, Shangqiu 476000, Henan, Chin)
出处
《内蒙古师范大学学报(自然科学汉文版)》
CAS
北大核心
2017年第5期652-655,共4页
Journal of Inner Mongolia Normal University(Natural Science Edition)
基金
国家自然科学基金青年科学基金项目(11301468)
关键词
粘弹性方程
初边值问题
强阻尼
强时滞
viscoelastic equation
initial boundary value problem
strong damping
strong delay