Decay Estimate Of Energy For The Solution Of Hyperbolic Equation With Memory

In This paper,we will discuss a class of hyperbolic wave equation with memory.Because of the damping is included in the memory item,so the dissipa-tiveness is very weaker.By employing the idea of multiplier,we construct a Lya-punov function L(t),which is equivalent to the energy of system ε(t),and use differential inequality, the decay estimate of energy of system is obtained.