Periodic solution to nonlinear differential equation at resonance

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摘要

In this paper, a class of nonlinear Sturm–Liouville problems at resonance is discussed. An extended form of a non-variational version of a max–min principle is applied to show that the equation possesses unique 2π-periodic solution under a less restrictive condition. This result extends what we have already known.

论文关键词:Nonlinear Sturm–Liouville problem,Resonance,Unique existence,Periodic solution,Max–min principle,Non-variational version

论文评审过程:Available online 23 May 2008.

论文官网地址:https://doi.org/10.1016/j.amc.2008.05.073