Asymptotic Behavior and Oscillation for Forced Odd Order Neutral Differential equations

摘要

Consider the forced odd order neutral differential equations of the form d~n/dt~n [x (t) - cx(t-τ)] + P(t)x (t-σ_ = f(t), t ≥ t_0, Where n is an odd positive integer and -1 < c < 1. we Obtaimn a sufficient condition under which every nonoscil- Latory solution tends to zero. When C = 0, a new oscil- Lation criteria for all solutions is found. When 0 < c < 1 And n = 1, an explicit sufficient condition for the oscil- Lation of all solutions is also given.