讨论了一类时滞偏微分方程的Cauchy问题,利用非负矩阵的性质和微分不等式技巧,得到其不变集存在性和全局吸引性的充分条件.
Several new sufficient conditions for the invariant set and global attractivity of Cauchy problem of a class of partial differential equations with time delays are obtained by using the properties of nonnegative matrices and the differential inequality technique.