Periodic Solutions of Second‐Order Differential Inclusions Systems with p(t)‐Laplacian

Liang Zhang and Peng Zhang

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

Abstract: The existence of periodic solutions for nonautonomous second‐order differential inclusion systems with p(t)‐Laplacian is considered. We get some existence results of periodic solutions for system, (d/dt)(|u˙(t)|p(t)−2u˙(t))∈∂F(t,u(t)) a.e. t ∈ [0, T], u(0)−u(T)=u˙(0)−u˙(T)=0, by using nonsmooth critical point theory. Our results generalize and improve some theorems in the literature.

Date: 2012
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https://doi.org/10.1155/2012/475956

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:475956

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