论文标题

具有延迟和单数$φ$ -laplacian的相对论类型的liénard方程的定期解决方案的多样性

Multiplicity of Periodic Solutions for Dynamic Liénard Equations with Delay and Singular $φ$-laplacian of Relativistic Type

论文作者

Amster, Pablo, Kuna, Mariel P., Santos, Dionicio D.

论文摘要

我们研究了具有延迟时间尺度的单数$φ$ - laplacian方程的周期性解决方案的存在和多样性。我们使用基于Leray-Schauder学位的拓扑方法证明了多种解决方案的存在。一个特殊情况是具有相对论效果的强制摆动方程的$ t $周期性问题。

We study the existence and multiplicity of periodic solutions for singular $φ$-laplacian equations with delay on time scales. We prove the existence of multiple solutions using topological methods based on the Leray-Schauder degree. A special case is the $T$-periodic problem for the forced pendulum equation with relativistic effects.

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