通过运用扰动能量方法研究了一类具有弱非线性耗散项粘弹性波方程解的能量衰减性, 其中耗散项显依赖于时间$t$, 得到解的衰减率依赖于阻尼的增长速度和$t$的函数.

In this paper, we study decay properties of the solutions for a viscoelastic wave equation with a weak nonlinear dissipative term and source term by using the perturbed energy method and weighted integral inequalities, where dissipative term is dependent on the time t. It is shown that the rate of decay of the solution depends on the speed of growth of damping and on a function of time t.