The semicycles of solutions of neutral difference equations (Q1585511)

The authors study the semicycles of solutions to the neutral delay difference equation \[ \Delta(y_n+ p_ny_{n-\tau}) +q_ny_{n-\sigma} =0. \] Here \(\{p_n\}\) and \(\{q_n\}\) are sequences of nonnegative real numbers, \(\tau\) and \(\sigma\) are positive integers. Upper bounds on the number of terms of semicycles are determined.