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

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  • Xiao-Bao Shu
  • Yongzeng Lai
  • Fei Xu

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.

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Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:404928
DOI: 10.1155/2012/404928
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