具分片常变量泛函微分方程的全局稳定性

本文研究具分片常变量泛函微分方程，其中·]表示取整函数，r(t)∈C(0，+c)，(0，+c))，P_i∈0，+c)，(i=1，2，…，m)，P_m>0，文中给出了保证方程的每一满足初始条件N(0)=N₀>0,N(-j)=N_-j≥0(j=1，2，…，m)，的解N(t)满足lim_t→∞N(t)=N^*的一些新的充分条件.

Global Stability in a Differential Equation with Piecewisely Constant Arguments

n this paper we consider the differential equation with piecewisely constant arguments N＇(t) = r(t)(-μN(t)t>0,where .] denotes the greates integer function, r(t) ∈ C(0,+∞),(0,+∞)),Pi ∈ 0, +∞)(i = I, 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 →