具强迫力的一阶中立型微分方程的振动性

Oscillation for Forced First Order Neutral Differential Equations

考虑具强迫力的一阶中立型微分方程ｄｄｔ［ｘ（ｔ）－Ｒ（ｔ）ｘ（ｔ－τ）］＋Ｐ（ｔ）ｘ（ｔ－σ）＝ｆ（ｔ），ｔ≥ｔ０这里０≤Ｒ（ｔ）＜Ｃ＜１，Ｃ为正常数，得到了方程的所有解都振动的一个充分条件．

Consider the forced first order neutral differential equation of the formddt[x(t)-R(t)x(t-τ)]+P(t)x(t-σ)=f(t),t≥t0.where 0≤R(t)<C<1,C is a positive number.A sufficient condition for the oscillation of all solutions is obtained.