{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T02:57:34Z","timestamp":1760237854945,"version":"build-2065373602"},"reference-count":34,"publisher":"MDPI AG","issue":"6","license":[{"start":{"date-parts":[[2022,6,10]],"date-time":"2022-06-10T00:00:00Z","timestamp":1654819200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"NSF of Shanxi Province, China","award":["20210302123339","2021YJJG142"],"award-info":[{"award-number":["20210302123339","2021YJJG142"]}]},{"name":"Graduate Education and Teaching Innovation Project of Shanxi, China","award":["20210302123339","2021YJJG142"],"award-info":[{"award-number":["20210302123339","2021YJJG142"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>In this paper, we investigate a class of nonlinear Schr\u00f6dinger systems containing a nonlinear operator under Osgood-type conditions. By employing the iterative technique, the existence conditions for entire positive radial solutions of the above problem are given under the cases where components \u03bc and \u03bd are bounded, \u03bc and \u03bd are blow-up, and one of the components is bounded, while the other is blow-up. Finally, we present two examples to verify our results.<\/jats:p>","DOI":"10.3390\/axioms11060282","type":"journal-article","created":{"date-parts":[[2022,6,10]],"date-time":"2022-06-10T10:25:12Z","timestamp":1654856712000},"page":"282","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["The Existence of Radial Solutions to the Schr\u00f6dinger System Containing a Nonlinear Operator"],"prefix":"10.3390","volume":"11","author":[{"given":"Guotao","family":"Wang","sequence":"first","affiliation":[{"name":"School of Mathematics and Computer Science, Shanxi Normal University, Taiyuan 030031, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zhuobin","family":"Zhang","sequence":"additional","affiliation":[{"name":"School of Mathematics and Computer Science, Shanxi Normal University, Taiyuan 030031, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zedong","family":"Yang","sequence":"additional","affiliation":[{"name":"College of Mathematics and System Science, Shandong University of Science and Technology, Qingdao 266590, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2022,6,10]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"331","DOI":"10.1007\/BF01707876","article-title":"Beweis der Existenz einer L\u00d6sung der Differential gleichung dydx = f (x, y) ohne Hinzunahme der Cauchy-Lipschitz\u2019schen Bedingung","volume":"9","author":"Osgood","year":"1898","journal-title":"Monatsh. 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