一类抛物型偏泛函微分方程解的强迫振动性

FORCED OSCILLATION OF SOLUTlONS OF A CLASS OF PARABOLIC PARTIAL FUNCTIONAL DIFFERENTIAL EQUATIONS

本文研究抛物型偏泛函微分方程解的强迫振动性，其中Ｄ为Ｒ￣ｎ中具有逐片光滑边界的有界区域，ｕ＝ｕ（ｘ，ｔ），Δ是Ｒ￣ｎ中的Ｌａｐｌａｃｅ算子。

In this pcper we discuss the forced osciIIation of the soIutions of parabolicpartial functional differential equations of the formwherw D is a bounded domain in R￣n with a piecewise smooth boundaty, u=u(x,t),△凸 is the Laplacian in R￣n.