{ "id": "1605.00488", "version": "v1", "published": "2016-05-02T13:55:25.000Z", "updated": "2016-05-02T13:55:25.000Z", "title": "On the Roots of Characteristic Equations of Delay Differential Systems", "authors": [ "Jia-Yuan Dai" ], "comment": "5 pages", "categories": [ "math.DS" ], "abstract": "We prove that characteristic equations of certain types of delay differential systems, under some mild conditions on their coefficients, can possess infinitely many complex roots.", "revisions": [ { "version": "v1", "updated": "2016-05-02T13:55:25.000Z" } ], "analyses": { "keywords": [ "delay differential systems", "characteristic equations", "mild conditions", "complex roots" ], "note": { "typesetting": "TeX", "pages": 5, "language": "en", "license": "arXiv", "status": "editable" } } }