一类半线性二维积分微分方程

A Class of Semilinear Two-dimensional Integro-differential Equations

考虑线性粘弹性板振动所引出的半线性积分微分方程的初边值问题 ,通过解的先验估计利用Leary -schauder不动点定理在某些条件下得到了初边值问题解的存在唯一性 .

In this paper, the initial bowndary value problem of Semilinear integro-differential equations from the vibration of linear viscoelastic plate has been studied, by the priori estimate and Leary-Schauder fixed point theorem, under some conditions the existence and uniqueness of solution to the initial boundary value problem has been obtained.