Existence of periodic solutions for neutral functional differential equations with nonlinear difference operator

详细信息    查看全文

• 作者：Shi Ping Lu
• 关键词：Neutral functional differential equation ; condensing operator ; topological degree ; periodic solution
• 刊名：Acta Mathematica Sinica
• 出版年：2016
• 出版时间：December 2016
• 年：2016
• 卷：32
• 期：12
• 页码：1541-1556
• 全文大小：255 KB
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Mathematics
  Chinese Library of Science
  
• 出版者：Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society, co-published
• ISSN：1439-7617
• 卷排序：32

文摘

In this paper, the authors consider the problem of existence of periodic solutions for a second order neutral functional differential system with nonlinear difference D-operator. For such a system, since the possible periodic solutions may not be differentiable, our method is based on topological degree theory of condensing field, not based on Leray Schauder topological degree theory associated to completely continuous field.