{ "id": "1702.02884", "version": "v1", "published": "2017-02-09T16:32:04.000Z", "updated": "2017-02-09T16:32:04.000Z", "title": "A Convergence Criterion for the Solutions of Nonlinear Difference Equations and Dynamical Systems", "authors": [ "H. Sedaghat" ], "comment": "12 pages", "categories": [ "math.DS" ], "abstract": "A general sufficient condition for the convergence of subsequences of solutions of non-autonomous, nonlinear difference equations and systems is obtained. Applications to discrete dynamical systems, including some that model populations of certain species are discussed.", "revisions": [ { "version": "v1", "updated": "2017-02-09T16:32:04.000Z" } ], "analyses": { "subjects": [ "39A30", "92D25" ], "keywords": [ "nonlinear difference equations", "convergence criterion", "general sufficient condition", "discrete dynamical systems", "model populations" ], "note": { "typesetting": "TeX", "pages": 12, "language": "en", "license": "arXiv", "status": "editable" } } }