The Clark dual and multiple periodic solutions of delay differential equations

Boundary value problems

Jianshe Yu¹  Huafeng Xiao¹  Zhiming Guo¹ 

[1] College of Mathematics and Information Sciences, Guangzhou University, Guangzhou, PRC

关键词: periodic solution;    Clark dual;    Morse-Ekeland index;    delay differential equation;    asymptotic linearity;   

DOI  :  10.1186/1687-2770-2011-44

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

We study the multiplicity of periodic solutions of a class of non-autonomous delay differential equations. By making full use of the Clark dual, the dual variational functional is considered. Some sufficient conditions are obtained to guarantee the existence of multiple periodic solutions. 2000 Mathematics Subject Classification: 34K13; 34K18.

【 授权许可】

CC BY