Bounds of Periods for Periodic Solutions of a Class of Functional Differential Equations in Banach Space

摘要：

In this paper, we study lower bounds of periods for periodic solutions of the following differential delay equations x(t)=f(x(t-r1),x(t-r2),..., x(t-rn))(*) and x(t)=g(t,x(t-r1),x(t-r2),...,x(t-rm))(**) in Banaeh spaces, where ri (i = 1, 2,..., n) and sj (j = 1, 2, ... ,m) are all given constants. When the functions f and g satisfy suitable Lipsehitz conditions, we obtain lower bounds for periodic solutions of(*) and (**) in Banach space.

关键词： integral inequality lower bounds periodic solutions differential delay equations Lipschitz conditions

作者: Cheng Rong

作者单位: College of Mathematics and Physics, Nanjing University of Information Science & Technology, Nanjing 210044, China

会议类型: 国际会议

会议名称: 2010 International Conference on Application of Mathematics and Physics(2010国际数理科学与气象学术研讨会暨2010空间天气学研讨会 AMP2010)

会议地点: 南京

会议语种:英文

页码: 467-471

在线出版日期: 2010-05-08（万方平台首次上网日期，不代表论文的发表时间）