具有非局部反应声学边界条件和边界时滞的波动系统稳定性  

Stability of Wave Systems with Boundary Delays and Acoustic Boundary Conditions to a Non-locally Reacting Boundary

作　　者：李静[1] 梁晓珍 LI Jing;LIANG Xiaozhen(School of Mathematical Sciences,Shanxi University,Taiyuan 030006,China)

机构地区：[1]山西大学数学科学学院,山西太原030006

出　　处：《山西大学学报（自然科学版）》2021年第4期641-649,共9页Journal of Shanxi University(Natural Science Edition)

基　　金：国家自然科学基金(11801339);山西省自然科学基金(201901D111043);山西省留学人员科研资助项目(2020-006)

摘　　要：研究了一类具有非局部反应声学边界条件的非线性波动方程系统在边界时滞扰动下的稳定性。主要应用乘子方法和一些不等式技巧获得了非线性时滞系统的能量衰减估计,将其衰减率归结为一个常微分方程的解。The stability of a nonlinear wave systems with acoustic boundary conditions to non-locally reacting boundary is studied under boundary time-delay disturbances.The multiplier method and some inequality techniques are the key approaches to obtain the energy decay estimation formula of the nonlinear system with delay terms,and the decay rate of the nonlinear system is described by the solution of an ordinary differential equation.

关 键 词：波动方程 声学边界条件 非局部反应边界 时滞扰动 能量衰减 

分 类 号：O175[理学—数学]