{
  "id": "1712.04917",
  "version": "v1",
  "published": "2017-12-13T18:37:43.000Z",
  "updated": "2017-12-13T18:37:43.000Z",
  "title": "Nonuniform Almost Reducibility of Nonautonomous Linear Differential Equations",
  "authors": [
    "Álvaro Castañeda",
    "Ignacio Huerta"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "We prove that a linear nonautonomous differential system with nonuniform hyperbolicity on the half line can be expressed as diagonal system with a perturbation which is small enough. Moreover we show that the diagonal terms are contained in the nonuniform exponential dichotomy spectrum. For this purpose we introduce the concepts of \\textit{nonuniform almost reducibility} and \\textit{nonuniform contractibility} which are generalization of this notions originally defined in a uniform context by F. Lin.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-12-13T18:37:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "34D09",
      "37D25",
      "37B55"
    ],
    "keywords": [
      "nonautonomous linear differential equations",
      "reducibility",
      "nonuniform exponential dichotomy spectrum",
      "linear nonautonomous differential system",
      "nonuniform hyperbolicity"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}