Article ID Journal Published Year Pages File Type
838128 Nonlinear Analysis: Real World Applications 2010 9 Pages PDF
Abstract

The purpose of this paper is to prove the existence and multiplicity of periodic solutions for the following second-order system at resonance: {ü+m2w2u=∇F(t,u),a.e.t∈[0,T],u̇(0)−u̇(T)=u(0)−u(T)=0, where m>0m>0. Some new existence theorems are obtained by the variational methods.

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Physical Sciences and Engineering Engineering Engineering (General)
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Existence and multiplicity of periodic solutions for second-order systems at resonance
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