具相对论性奇异$φ$ -Laplacian时滞动力Liénard方程周期解的多重性
Multiplicity of Periodic Solutions for Dynamic Liénard Equations with Delay and Singular $φ$-laplacian of Relativistic Type
摘要：
研究了时间尺度上奇异时滞$φ$ -Laplacian方程周期解的存在性和多解性.利用基于勒雷-绍德尔度的拓扑方法证明了该方程多解的存在性.一个特殊的情况是受迫摆方程的相对论效应的$T$ -周期问题。
英文摘要：
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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