{ "id": "1201.4495", "version": "v1", "published": "2012-01-21T17:50:44.000Z", "updated": "2012-01-21T17:50:44.000Z", "title": "Existence of solutions for dynamic inclusions on time scales via duality", "authors": [ "Ewa Girejko", "Delfim F. M. Torres" ], "comment": "Submitted 29-Aug-2011; revised 09-Jan-2012; accepted 21-Jan-2012; for publication in Applied Mathematics Letters", "journal": "Appl. Math. Lett. 25 (2012), no. 11, 1632--1637", "doi": "10.1016/j.aml.2012.01.026", "categories": [ "math.CA" ], "abstract": "The problem of existence of solutions to nabla differential equations and nabla differential inclusions on time scales is considered. Under a special form of the set-valued constraint map, sufficient conditions for the existence of at least one solution, that stay in the constraint set, are derived.", "revisions": [ { "version": "v1", "updated": "2012-01-21T17:50:44.000Z" } ], "analyses": { "subjects": [ "34A12", "34N05" ], "keywords": [ "time scales", "dynamic inclusions", "nabla differential equations", "nabla differential inclusions", "constraint set" ], "tags": [ "journal article" ], "publication": { "publisher": "Elsevier" }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1201.4495G" } } }