Existence of Subharmonic Periodic Solutions to a Class of Second‐Order Non‐Autonomous Neutral Functional Differential Equations

Xiao-Bao Shu, Yongzeng Lai and Fei Xu

Abstract and Applied Analysis, 2012, vol. 2012, issue 1

Abstract: By introducing subdifferentiability of lower semicontinuous convex function φ(x(t), x(t − τ)) and its conjugate function, as well as critical point theory and operator equation theory, we obtain the existence of multiple subharmonic periodic solutions to the following second‐order nonlinear nonautonomous neutral nonlinear functional differential equation x″(t) + x″(t − 2τ) + f(t, x(t), x(t − τ), x(t − 2τ)) = 0, x(0) = 0.

Date: 2012
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https://doi.org/10.1155/2012/404928

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:404928

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