关于一类中立型积分偏微分方程的稳定性

On the Stability of A Neutral Integro-Partial Differential Equation

主要研究中立型积分偏微分方程其中｜ｃ（ｔ）≤Ｍ，Ｍ∈［０，１），Ｄ∈［０，－∞）ａｎｄ０＜ｌ＜∞．获得了具有齐次诺伊曼边界条件的初始问题的零解渐近稳定的充分条件，结果推广了文［２］的结论．

Consider the stability of a neutral integro-partial differential equation where |c(t)|≤M,M∈[0,1),D∈[0,∞)and 0<l<∞.we obtain some sufficient conditions for the asymptotic stability of the trivial solution of a neutral partial integrodifferentail equation with homogeneous Neumann boundary conditions.Some results given in[2]are generalized.