摘要
对于中立型泛函微分方程d/(dt)[x(t)-P(t)x(t-τ)]+Q(t)x(t-σ)=0,t≥t_0在系数条件更弱的情形下,证明了Hunt-Yorke型振动定理。
In this paper we consider neutral differential equationsd/dt[x(t)-P(t)x(t-τ)]+Q(t)x(t-σ)=0,t≥t_0where P、Q∈C(t_0,+∞),R^+)andτ、σ∈R^+.We establish sufficientconaitions for oscillation of the equations.Our conaitions are 'sharp'in the sense then when the coefficients P and Q constants are also necessary. Our results extend and improve some theorems.
出处
《湘潭大学自然科学学报》
CAS
CSCD
1993年第3期14-19,共6页
Natural Science Journal of Xiangtan University
关键词
中立型
振动
猜想
泛函微分方程
neutral delay differential equation
oscillation
conjecture
