一类时滞偏微分方程的不变集和吸引性

Invariant set and attractivity of a class of partial differential equations with time delay

讨论了一类时滞偏微分方程的Cauchy问题,利用该问题解的积分表达式和适当的分析技巧,得到了其不变集,吸引集和吸引盆一些新的充分条件.

Several new sufficient conditions for the invariant set,attracting set and attracting basin of Cauchy problem of a class of partial differential equations with time delays are obtained by using the integral formula of the solution of Cauchy problem and some analytical methods.