The Journal of the Australian Mathematical Society. Series B. Applied Mathematics

Research Article

The existence of periodic solutions for a class of neutral differential difference equations

Yongshao Chena1

a1 Department of Mathematics, South China Normal University, Guangzhou, 510631, China.


In this paper, we study the existence of periodic solutions of the NDDE (neutral differential difference equation):


where τ > 0 and c is a real number. We obtain a sufficient condition under which (*) has at least k nonconstant oscillatory periodic solutions.

(Received May 15 1990)

(Revised May 14 1991)