中立型泛函微分方程解的振动性(Ⅱ)

OSCILLATORY BEHAVIOR OF SOLUTIONS TO NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS(Ⅱ)

在 C>1时讨论了方程d/dt[x(t)—cx(t—r)]+sum form i=1 to n P_i(t)x(t—r_i)=0解的振动性充分性判据.证明方法上纠正了已有文献中的一些错误,并对一些错误结论给出了反例;给出了一些非振动解的存在性条件.

Some results on the oscillation to d/dt[x(t)-cx(t)]+sum from i=1 to n(p_i(t)x(t-r_i(t))=0 (c>1) are given, and some mistakes in some references are pointed out and some counterexamples are given. Finally, some existence theorems of nonoscillatory solutions are proved.