中文摘要：

考虑一类非线性粘弹性波动方程uu-κ0△u＋∫0g（t-s）div[a（x）△u（s）]ds＋b（x）h（ut）=f（u）,（x,t）∈Ω×（0,∞）的初边值问题．在对函数g，h和f比较弱的假设下，通过引入简单的Lyapunov泛函和精确先验估计证明了能量一致衰减．

英文摘要：

In this paper we consider a class of nonlinear viscoelastic wave equation uu-κ0△u＋∫0g（t-s）div[a（x）△u（s）]ds＋b（x）h（ut）=f（u）,（x,t）∈Ω×（0,∞）with initial-boundary conditions. Under weaker assumptions on the functions g,h and f, the uniform energy decay are proved by introducing very simple Lyapunov functional and precise priori estimates.