{
  "id": "math/0601013",
  "version": "v1",
  "published": "2005-12-31T14:30:17.000Z",
  "updated": "2005-12-31T14:30:17.000Z",
  "title": "Asymptotic equivalence of differential equations and asymptotically almost periodic solutions",
  "authors": [
    "M. U. Akhmet",
    "M. A. Tleubergenova",
    "A. Zafer"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "In this paper we establish asymptotic (biasymptotic) equivalence between spaces of solutions of a given linear homogeneous system and a perturbed system. The perturbations are of either linear or weakly linear characters. Existence of a homeomorphism between subspaces of almost periodic and asymptotically (biasymptotically) almost periodic solutions is also obtained.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-12-31T14:30:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "34A30",
      "34C27",
      "34C41",
      "34D10"
    ],
    "keywords": [
      "periodic solutions",
      "asymptotic equivalence",
      "differential equations",
      "linear homogeneous system"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......1013A"
    }
  }
}