中立型抛物微分方程边值问题解的振动性

Oscillatory Properties of Solutions for Neutral Parabolic Differential Equations Boundary Value Problems

本文考虑中立型抛物微分方程其中τ＞０，Ω是ｎ维欧氏空间Ｒ￣ｎ中具有光滑边界Ω的有界区域，我们得到了方程（１）的两类边值问题解振动的充分条件。

Abstract In this paper we consider the neutral parabolic differential equation where τ>0,Ωis a bounded domain in R￣n with a smooth boundary all.We obtain sufficient conditions for the oscillation of the solutions of two kinds of boundary value problems of Equation(1)