{ "id": "2304.12859", "version": "v1", "published": "2023-03-24T13:32:12.000Z", "updated": "2023-03-24T13:32:12.000Z", "title": "Roughness of dichotomy for the connected system of operator-differential equations in Banach spaces", "authors": [ "Pokutnyi Oleksandr" ], "comment": "in Ukrainian language", "categories": [ "math.DS" ], "abstract": "The paper is devoted to obtaining conditions for the roughness of dichotomy in the Banach spaces. Deep analysis of the well known papers was considered. The main results also works for the case of unbounded operators.", "revisions": [ { "version": "v1", "updated": "2023-03-24T13:32:12.000Z" } ], "analyses": { "keywords": [ "banach spaces", "operator-differential equations", "connected system", "deep analysis", "main results" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }