The problem of existence of periodic solutions for neutral functional differential system with nonlinear difference operator

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:387

Article

Lu, Shiping^1,2  Chen, Lijuan¹ 

[1] NUIST, Coll Math & Phys, Nanjing 210044, Peoples R China

[2] Anhui Normal Univ, Dept Math, Wuhu 241000, Anhui, Peoples R China

关键词: Neutral functional differential equation;    Difference operator;    Mawhin's continuation theorem;    Periodic solution;   

DOI  :  10.1016/j.jmaa.2011.10.022

来源: Elsevier

【 摘 要 】

In this paper, the authors investigate some new properties of nonlinear difference operator in the first, which is associated with neutral functional differential equations. Then, by using these new properties, the problem of existence of periodic solutions for neutral functional differential system with nonlinear operator D(1)(phi) = phi(0) - B phi(-tau) - h(phi) is studied. The interesting thing is that the periodic solution to the system is allowed to be not differentiable. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

Free