On a logistic equation with piecewise constant arguments
Date of Original Version
Let [·] denote the greatest-integer function and consider the logistic equation with piecewise constant arguments (*) where r ∈ (0, ∞) and ao, a1, · · ·, am ∈ [0, ∞) Σmj=0 aj > 0 and r+m ≠ 1. We obtained necessary and sufficient conditions for the oscillation of all positive solutions of equation (*) about the positive steady state N* = Σmj=0aj) -1. We also obtained sufficient conditions for the global attractivity of the positive steady state N*. © 1991, Khayyam Publishing. All rights reserved.
Differential and Integral Equations
Gopalsamy, K., M. R.S. Kulenovic, G. Ladas, and A. R. Aftabizadeh. "On a logistic equation with piecewise constant arguments." Differential and Integral Equations 4, 1 (1991): 215-223. https://digitalcommons.uri.edu/math_facpubs/221