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
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.