{
  "id": "0806.3234",
  "version": "v1",
  "published": "2008-06-19T16:48:02.000Z",
  "updated": "2008-06-19T16:48:02.000Z",
  "title": "New Stability Conditions for Linear Differential Equations with Several Delays",
  "authors": [
    "Leonid Berezansky",
    "Elena Braverman"
  ],
  "comment": "19 pages",
  "journal": "Abstr. Appl. Anal. 2011, Art. ID 178568, 19 pp",
  "categories": [
    "math.DS",
    "math.CA"
  ],
  "abstract": "New explicit conditions of asymptotic and exponential stability are obtained for the scalar nonautonomous linear delay differential equation $$ \\dot{x}(t)+\\sum_{k=1}^m a_k(t)x(h_k(t))=0 $$ with measurable delays and coefficients. These results are compared to known stability tests.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-06-19T16:48:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "34K20"
    ],
    "keywords": [
      "linear differential equations",
      "stability conditions",
      "nonautonomous linear delay differential equation",
      "scalar nonautonomous linear delay differential",
      "exponential stability"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0806.3234B"
    }
  }
}