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arXiv:2005.12850 [math.DS]AbstractReferencesReviewsResources

Existence and Multiplicity of Periodic Solutions for Dynamic Equations with Delay and singular $\varphi$-laplacian of Relativistic Type

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

Published 2020-05-21Version 1

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.

Comments: 17 pages
Categories: math.DS
Subjects: 34N05, 34C25, 47H11
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