Xiao-Bao Shu, Yongzeng Lai, Fei Xu
Abstract:
In this article, we study the existence of an infinite number of
subharmonic periodic solutions to a class of second-order neutral
nonlinear functional differential equations. Subdifferentiability
of lower semicontinuous convex functions
and the corresponding conjugate functions are constructed.
By combining the critical point theory, Z2-group index theory
and operator equation theory, we obtain the infinite number of
subharmonic periodic solutions to such system.
Submitted November 13, 2012. Published June 28, 2013.
Math Subject Classifications: 34K13, 34K40, 65K10.
Key Words: Subharmonic periodic solution; variational structure;
operator equation; critical point; subdifferential;
neutral functional differential equation; Z2-group; index theory.
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Xiao-Bao Shu Department of Mathematics, Hunan University Changsha 410082, China email: sxb0221@163.com | |
Yongzeng Lai Department of Mathematics, Wilfrid Laurier University Waterloo, Ontario N2L 3C5, Canada email: ylai@wlu.ca | |
Fei Xu Department of Mathematics Wilfrid Laurier University Waterloo, Ontario N2L 3C5, Canada email: fxu.feixu@gmail.com |
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