Periodic Solutions of a Class of Second Order Functional Differential Equations

Authors
Zhang, Zheng Qiu Wang, Zhi Cheng
Citation
Zhang, Zheng Qiu et Wang, Zhi Cheng, Periodic Solutions of a Class of Second Order Functional Differential Equations, Acta mathematica Sinica. English series (Print) , 21(1), 2004, pp. 95-108
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
21
Issue
1
Year of publication
2004
Pages
95 - 108
Database
ACNP
SICI code
Abstract
We obtain sufficient conditions for the existence of periodic solutions of the following second order nonlinear differential equation: ax(t)*bx2k1(t)*cx2k1(t)*g(x(t1),x(t2))=p(t)=p(t*2). Our approach is based on the continuation theorem of the coincidence degree, and the priori estimate of periodic solutions.