{
  "id": "2005.12850",
  "version": "v1",
  "published": "2020-05-21T17:37:21.000Z",
  "updated": "2020-05-21T17:37:21.000Z",
  "title": "Existence and Multiplicity of Periodic Solutions for Dynamic Equations with Delay and singular $\\varphi$-laplacian of Relativistic Type",
  "authors": [
    "Pablo Amster",
    "Mariel P. Kuna",
    "Dionicio D. Santos"
  ],
  "comment": "17 pages",
  "categories": [
    "math.DS"
  ],
  "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-05-21T17:37:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "34N05",
      "34C25",
      "47H11"
    ],
    "keywords": [
      "periodic solutions",
      "dynamic equations",
      "relativistic type",
      "multiplicity",
      "relativistic effects"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}