{ "id": "0801.2123", "version": "v1", "published": "2008-01-14T17:56:53.000Z", "updated": "2008-01-14T17:56:53.000Z", "title": "Necessary and sufficient conditions for local Pareto optimality on time scales", "authors": [ "Agnieszka B. Malinowska", "Delfim F. M. Torres" ], "comment": "7 pages", "journal": "Journal of Mathematical Sciences, Vol. 161, No. 6, 2009, 803--810", "doi": "10.1007/s10958-009-9601-1", "categories": [ "math.OC", "math.CA" ], "abstract": "We study a multiobjective variational problem on time scales. For this problem, necessary and sufficient conditions for weak local Pareto optimality are given. We also prove a necessary optimality condition for the isoperimetric problem with multiple constraints on time scales.", "revisions": [ { "version": "v1", "updated": "2008-01-14T17:56:53.000Z" } ], "analyses": { "subjects": [ "49K15", "90C29" ], "keywords": [ "time scales", "sufficient conditions", "weak local pareto optimality", "necessary optimality condition", "multiobjective variational problem" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 7, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2008arXiv0801.2123M" } } }