讨论的是一类带有黏性项的强阻尼波动方程,Uu-△u-α△u1+∫01g(t-τ)△u(τ)dτ+ε︱u1︱p-1u1-︱u︱m-1u。对于ε≠1,α≠0的情况证明方程解的存在性和指数衰减性。
It is discussed that a class of strongly damped with a viscous wave equation,Uu-△u-α△u1+∫01g(t-τ)△u(τ)dτ+ε︱u1︱p-1u1-︱u︱m-1u,forε≠1,α≠0situation it is proved that the existence and the exponential decay of solution.