The Clark dual and multiple periodic solutions of delay differential equations

被引：0
作者：
Huafeng Xiao
Jianshe Yu
Zhiming Guo
机构：
[1] Guangzhou University,College of Mathematics and Information Sciences
来源：
Boundary Value Problems | / 2011卷
关键词：
periodic solution; Clark dual; Morse-Ekeland index; delay differential equation; asymptotic linearity;
D O I：
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中图分类号：
学科分类号：
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.
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