Abstract: Sufficient conditions for the oscillation of the equation d/dt[x(t)-R(t)x(t-r)]+P(t)x(t-τ)-Q(t)x(t-δ)=0 are obtained whereR(t)+∫^t _t-τ+δQ(u)du-1 is allowed to oscillates and the condition ∫^∞_t0s[P(s)-Q(s-τ+δ)]∫^∞_s[P(u)-Q(u-τ+δ)]duds=∞ is not necessary.

Key words: neutral equation, oscillation

摘要： 给出中立型方程d/dt[x(t)-R(t)x(t-r)]+P(t)x(t-τ)-Q(t)x(t-δ)=0振动的充分条件。这里R(t)+∫^t_t-τ+δQ(u)du-1可以是变号的，并且不要求∫^∞_t0s[P(s)-Q(s-τ+δ)]∫^∞_s[P(u)-Q(u-τ+δ)]duds=∞.

关键词: 中立型方程, 振动性