{
  "id": "1902.08249",
  "version": "v1",
  "published": "2019-02-21T20:21:16.000Z",
  "updated": "2019-02-21T20:21:16.000Z",
  "title": "A new stability test for linear neutral differential equations",
  "authors": [
    "Leonid Berezansky",
    "Elena Braverman"
  ],
  "comment": "7 pages",
  "journal": "Appl. Math. Lett. 81 (2018), 79-85",
  "doi": "10.1016/j.aml.2018.02.005",
  "categories": [
    "math.DS"
  ],
  "abstract": "We obtain new explicit exponential stability conditions for the linear scalar neutral equation with two bounded delays $ \\dot{x}(t)-a(t)\\dot{x}(g(t))+b(t)x(h(t))=0, $ where $ 0\\leq a(t)\\leq A_0<1$, $0<b_0\\leq b(t)\\leq B$, using the Bohl-Perron theorem and a transformation of the neutral equation into a differential equation with an infinite number of delays. The results are applied to the neutral logistic equation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-02-21T20:21:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "34K40",
      "34K20",
      "34K06"
    ],
    "keywords": [
      "linear neutral differential equations",
      "stability test",
      "explicit exponential stability conditions",
      "linear scalar neutral equation",
      "neutral logistic equation"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Elsevier"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}