Periodic solutions for \(n^{\text{th}}\) order functional differential equations. (English) Zbl 1202.34121

Chen, Xingrong; Pan, Lijun

Bull. Belg. Math. Soc. - Simon Stevin 17, No. 1, 109-126 (2010).

A class of \(n\)th-order functional differential equations is considered, and some sufficient conditions for the existence of periodic solutions are established. The approach is based on the coincidence degree theory of Mawhin. The main theorem is illustrated by an example.

Reviewer: Kwok-wai Chung (Kowloon, Hong Kong)

MSC:

34K13	Periodic solutions to functional-differential equations
47N20	Applications of operator theory to differential and integral equations

Keywords:

functional differential equations; periodic solution; coincidence degree