International Journal of Mathematics and Mathematical Sciences

International Journal of Mathematics and Mathematical Sciences / 2005 / Article

Open Access

Volume 2005 |Article ID 851685 | https://doi.org/10.1155/IJMMS.2005.2689

Xiao-Bao Shu, Yuan-Tong Xu, "Multiple periodic solutions to a class of second-order nonlinear mixed-type functional differential equations", International Journal of Mathematics and Mathematical Sciences, vol. 2005, Article ID 851685, 14 pages, 2005. https://doi.org/10.1155/IJMMS.2005.2689

Multiple periodic solutions to a class of second-order nonlinear mixed-type functional differential equations

Received22 Oct 2004
Revised23 Aug 2005

Abstract

By means of variational structure and Z2 group index theory, we obtain multiple periodic solutions to a class of second-order mixed-type differential equations x''(tτ)+f(t,x(t),x(tτ),x(t2τ))=0 and x''(tτ)+λ(t)f1(t,x(t),x(tτ),x(t2τ))=x(tτ).

Copyright © 2005 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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