Multiplicity of Periodic Solutions for Dynamic Li\'enard Equations with Delay and Singular $\varphi$-laplacian of Relativistic Type

Abstract

We study the existence and multiplicity of periodic solutions for singular $\varphi$-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.