{
  "id": "1908.08224",
  "version": "v1",
  "published": "2019-08-22T07:01:30.000Z",
  "updated": "2019-08-22T07:01:30.000Z",
  "title": "Analysis of Volterra Integrodifferential Equations with Nonlocal and Boundary Conditions via Picard Operator",
  "authors": [
    "Pallavi U. Shikhare",
    "Kishor D. Kucche",
    "J. Vanterler da C. Sousa"
  ],
  "comment": "16",
  "categories": [
    "math.CA"
  ],
  "abstract": "This article investigates the existence and uniqueness of solutions to the second order Volterra integrodifferential equations with nonlocal and boundary conditions through its integral equivalent equations and fixed point of Banach. Further, utilising the Picard operator theory we obtain the dependency of solutions on the initial nonlocal data and on functions involved on the right hand side of the equations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-08-22T07:01:30.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "boundary conditions",
      "second order volterra integrodifferential equations",
      "picard operator theory",
      "right hand side",
      "initial nonlocal data"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}