{ "id": "1606.02802", "version": "v1", "published": "2016-06-09T02:30:28.000Z", "updated": "2016-06-09T02:30:28.000Z", "title": "Iterative oscillation tests for difference equations with several non-monotone arguments", "authors": [ "Elena Braverman", "George E. Chatzarakis", "Ioannis P. Stavroulakis" ], "comment": "17 pages, 6 figures, published in 2015 in Journal of Difference Equations and Applications", "journal": "J. Difference Equ. Appl. 21 (2015), no. 9, 854-874", "categories": [ "math.DS" ], "abstract": "We consider difference equations with several non-monotone deviating arguments and nonnegative coefficients. The deviations (delays and advances) are, generally, unbounded. Sufficient oscillation conditions are obtained in an explicit iterative form. Additional results in terms of $\\liminf $ are obtained for bounded deviations. Examples illustrating the oscillation tests are presented.", "revisions": [ { "version": "v1", "updated": "2016-06-09T02:30:28.000Z" } ], "analyses": { "subjects": [ "39A10", "39A21" ], "keywords": [ "iterative oscillation tests", "difference equations", "non-monotone arguments", "sufficient oscillation conditions", "deviations" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 17, "language": "en", "license": "arXiv", "status": "editable" } } }