Periodic solutions of a neutral differential equation with piecewise constant arguments (Q860987)

The main objective of this paper is to prove existence criteria for periodic solutions of the following neutral differential equation with piecewise constant arguments \[ (x(t)+cx(t+\gamma))'=f(x([t]), x([t-1]),\dots,x([t-k])). \] One example is given with \(c=5, \gamma=-1\), \(f(x_0,x_1,x_2)=x_0^{1/5}x_1^{2/5} x_2^{2/5}+2\).