| In this paper we consider the differential equation with piecewisely constant arguments,where [·] denotes the greates integer function, r(t) ∈ 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) = N0＞ 0 and N(-j) = N-j≥0, j = 1, 2,., m,to converge to the positive equilibrium N* as t →∞. |
