{ "id": "1101.3653", "version": "v1", "published": "2011-01-19T10:21:46.000Z", "updated": "2011-01-19T10:21:46.000Z", "title": "Higher-order Hahn's quantum variational calculus", "authors": [ "Artur M. C. Brito da Cruz", "Natalia Martins", "Delfim F. M. Torres" ], "comment": "Submitted 30-Sep-2010; revised 4-Jan-2011; accepted 19-Jan-2011; for publication in Nonlinear Analysis Series A: Theory, Methods & Applications", "journal": "Nonlinear Analysis 75 (2012), no. 3, 1147-1157", "doi": "10.1016/j.na.2011.01.015", "categories": [ "math.OC", "math.CA" ], "abstract": "We prove a necessary optimality condition of Euler-Lagrange type for quantum variational problems involving Hahn's derivatives of higher-order.", "revisions": [ { "version": "v1", "updated": "2011-01-19T10:21:46.000Z" } ], "analyses": { "subjects": [ "39A13", "49K05" ], "keywords": [ "higher-order hahns quantum variational calculus", "necessary optimality condition", "quantum variational problems", "euler-lagrange type", "hahns derivatives" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2011arXiv1101.3653B" } } }