Title: Infinite periodic and subharmonic solutions to a class of second-order nonlinear non-autonomous neutral functional differential equations

Authors: Xiao-Bao Shu

Addresses: Department of Mathematics, Hunan University, Changsha 410082, PR China

Abstract: In this paper, by setting up a new Hilbert space H*2γ τ and the variational method, we finded energy functions for a class of second-order nonlinear non-autonomous neutral functional differential equations. Then by critical point and Z₂-group index theory, we get the sufficient condition for the existence of infinite periodic solutions for the system. Simultaneity, we put up an open question.

Keywords: variational structure; critical points; subharmonic periodic solutions; Z2-group index theory; nonlinear functional differential equations; second-order functional differential equations; neutral functional differential equations.

DOI: 10.1504/IJDSDE.2009.031109

International Journal of Dynamical Systems and Differential Equations, 2009 Vol.2 No.3/4, pp.291 - 300

Published online: 20 Jan 2010 *

Full-text access for editors Full-text access for subscribers Purchase this article Comment on this article