Periodic Solutions to a Kind of Second Order Neutral Functional Differential Equation in the Critical Case

Authors
Lu, Shi Ping Ge, Wei Gao Zheng, Zu Xiu
Citation
Lu, Shi Ping et al., Periodic Solutions to a Kind of Second Order Neutral Functional Differential Equation in the Critical Case, Acta mathematica Sinica. English series (Print) , 21(5), 2005, pp. 1149-1158
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
21
Issue
5
Year of publication
2005
Pages
1149 - 1158
Database
ACNP
SICI code
Abstract
In this paper, the authors consider the existence of periodic solutions for a kind of second neutral functional differential equation as follows: (x(t).cx(t..))..=g(t,x(t..(t)))+e(t), in the critical case |c| = 1. By employing Mawhin's continuation theorem and some analysis techniques, some new results are obtained.