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

Xiao-Bao Shu and Yuan-Tong Xu

International Journal of Mathematics and Mathematical Sciences, 2005, vol. 2005, 1-14

Abstract:

By means of variational structure and Z 2 group index theory, we obtain multiple periodic solutions to a class of second-order mixed-type differential equations x ' ' ( t − τ ) + f ( t , x ( t ) , x ( t − τ ) , x ( t − 2 τ ) ) = 0 and x ' ' ( t − τ ) + λ ( t ) f 1 ( t , x ( t ) , x ( t − τ ) , x ( t − 2 τ ) ) = x ( t − τ ) .

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:851685

DOI: 10.1155/IJMMS.2005.2689

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