In the first chapter,the development of ordinary differential equation,which connected with this article, is introduced,briefly. In the second chapter, the high order neutral differential equation with forced termis considered,and sufficient condition and necessary condition for existence of nonoscil-latory solution x(t) satisfying liminf |x(t)| > 0 are obtained,respectively, There exist ad 0,such thatIn the third chapter, the high order neutral differential equation with forced termand its special conditionare considered,and necessary condition for nonoscillatory solution of (*), setthen(B)If n is even integer, > T, and(C) If n is odd integer,P(t) = l,andare obtained,respectively.
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