关于Hunt－Yorke猜想的证明

A Proof of the Hunt-Yorke Conjecture

考虑具有ｎ个变时滞的泛函微分方程其中ｑ＿ｉ（ｔ），Ｔ＿ｉ（ｔ）∈Ｃ（［０，＋∞），Ｒ￣＋），ｉ＝１，２，…，ｎ。本文证明了Ｈｕｎｔ－Ｙｏｒｋｅ猜想；同时还得到了在Ｋｗｏｎｇ－Ｐａｔｕｌａ意义下泛函微分方程强振动的充分条件。

Consider the differential equation with delaywhere q_i, T_i∈C([0,+∞),R￣+). In this paper, the Hunt-Yorke conjecture is provedand sufficient conditions for all solutions of(1)to be oscillated(i.e. strongly os-cillatory )under the sense of Kwong-Patula are obtained.