摘要
In this paper we consider the differential equation with piecewisely constant arguments where ['] -denotes the greates integer function, r(t) E C([0,+∞),(0, +∞)),Pi ∈ [0, +∞)(i = 1, 2,''' , m), with Pm > 0, we establish some new sufficient conditions for an arbitrary solution N(t) to satisfy the initial conditions of the form N(0) = NO > 0 and N(-j) = N-j ≥ 0,j = 1, 2, ., m, to converge to the positive equilibrium N* as t →∞.
本文研究具分片常变量泛函微分方程Ｎ＇（ｔ）＝ｒ（ｔ）（－μＮ（ｔ）＋∑ｉｍ＝０Ｐｉｅ－ｒｉＮ（［ｔ－ｉ］）），ｔ≥０，其中［·］表示取整函数，ｒ（ｔ）∈Ｃ（［０，＋∞），（０＋∞）），Ｐｉ∈［０＋∞），（ｉ＝１，２…，ｍ），Ｐｍ＞０，文中给出了保证方程的每一满足初始条件Ｎ（０）＝Ｎ０，Ｎ（－ｊ）＝Ｎ－ｊ≥０（ｊ＝１，２，…，ｍ），的解Ｎ（ｔ）满足ｌｉｍｔ→∞Ｎ（ｔ）＝Ｎ*的一些新的充分条件．
基金
Supported by the Science Foundation of Hunan Educational Commites (99C12)
