{ "id": "1505.02181", "version": "v1", "published": "2015-04-24T17:10:50.000Z", "updated": "2015-04-24T17:10:50.000Z", "title": "New Estimations for Sturm-Liouville Problems in Difference Equations", "authors": [ "Erdal Bas", "Ramazan Ozarslan" ], "categories": [ "math.CA" ], "abstract": "In this paper, Sturm-Liouville problem for difference equations is considered with potential function q(n). The representations of solutions are obtained by variation of parameters method. These solutions are proved, using summation by parts. Also, estimation of asymptotic expansion of the solutions are established.", "revisions": [ { "version": "v1", "updated": "2015-04-24T17:10:50.000Z" } ], "analyses": { "subjects": [ "39A13", "34B18" ], "keywords": [ "difference equations", "sturm-liouville problem", "estimation", "potential function", "parameters method" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2015arXiv150502181B" } } }