J Austral Math Soc Ser B 33 pp508--516, 1992.

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

Yongshao Chen

(Received 15 May 1990; revised 14 May 1991)

Abstract

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

(x(t) + cx(t - t))' = -f(x(t), x(t - t)) (*)
where t > 0 and c is a real number. We obtain a sufficient condition under which (*) has at least k nonconstant oscillatory periodic solutions.

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Authors

Yongshao Chen: Department of Mathematics, South China Normal University, Guangzhou, 510631, China.

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Last Modified: Sun Jan 27 17:56:48 2002