{ "id": "1907.10269", "version": "v1", "published": "2019-07-24T07:10:57.000Z", "updated": "2019-07-24T07:10:57.000Z", "title": "Oscillation criteria for second order linear systems of ordinary differential equations", "authors": [ "G. A. Grigorian" ], "comment": "16 pages", "categories": [ "math.CA" ], "abstract": "Some properties of global solution of scalar Riccati equation are studied. On the basis of these properties using the Whiburn's and Leighton - Nehary's theorems some oscillatory and criteria are proved for second order linear systems of ordinary differential equations.", "revisions": [ { "version": "v1", "updated": "2019-07-24T07:10:57.000Z" } ], "analyses": { "subjects": [ "34C10", "F.2.2", "I.2.7" ], "keywords": [ "second order linear systems", "ordinary differential equations", "oscillation criteria", "scalar riccati equation", "properties" ], "note": { "typesetting": "TeX", "pages": 16, "language": "en", "license": "arXiv", "status": "editable" } } }