{ "id": "1806.03868", "version": "v1", "published": "2018-06-11T09:13:40.000Z", "updated": "2018-06-11T09:13:40.000Z", "title": "Positive solutions of nonlinear integral equations and surjectivity of Non-Linear Markov Operators On Infinite Dimensional Simplex", "authors": [ "Farrukh Mukhamedov", "Otabek Khakimov", "Ahmad Fadillah Embong" ], "comment": "16 pages", "categories": [ "math.FA" ], "abstract": "In the present paper, we consider the solvability of positive solutions of nonlinear integral equations by means of investigating non-linear Markov operators. To solve the problem we find necessary and sufficient condition for the surjectivity of nonlinear Markov operators.", "revisions": [ { "version": "v1", "updated": "2018-06-11T09:13:40.000Z" } ], "analyses": { "subjects": [ "47H25", "37A30" ], "keywords": [ "nonlinear integral equations", "infinite dimensional simplex", "positive solutions", "surjectivity", "investigating non-linear markov operators" ], "note": { "typesetting": "TeX", "pages": 16, "language": "en", "license": "arXiv", "status": "editable" } } }