{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,2]],"date-time":"2026-05-02T06:27:33Z","timestamp":1777703253352,"version":"3.51.4"},"reference-count":23,"publisher":"SAGE Publications","issue":"6","license":[{"start":{"date-parts":[[2019,6,11]],"date-time":"2019-06-11T00:00:00Z","timestamp":1560211200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Journal of Intelligent &amp; Fuzzy Systems"],"published-print":{"date-parts":[[2019,6,11]]},"abstract":"<jats:p>\u00a0This paper presents some continuous dependence theorems on solutions of uncertain differential equations based on uncertain measure. We first introduce some properties on solution of uncertain differential equation. And then, we provide a continuous dependence theorem, and a continuity theorem to the initial value. In the proposed continuity theorem, the solution is regarded as a ternary function of initial values. Furthermore, we discuss how the solution continuously depends on initial value and parameter, and propose two theorems, namely, continuous dependence theorem on parameter, and continuity theorem on parameter to the initial value.<\/jats:p>","DOI":"10.3233\/jifs-182815","type":"journal-article","created":{"date-parts":[[2019,6,14]],"date-time":"2019-06-14T15:43:34Z","timestamp":1560527014000},"page":"6455-6465","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":2,"title":["Continuous dependence on solutions of uncertain differential equations via uncertain measure"],"prefix":"10.1177","volume":"36","author":[{"given":"Jun","family":"Zhang","sequence":"first","affiliation":[{"name":"School of Information, Capital University of Economics and Business, Beijing, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Dandan","family":"Li","sequence":"additional","affiliation":[{"name":"School of Information, Capital University of Economics and Business, Beijing, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Wei","family":"Chen","sequence":"additional","affiliation":[{"name":"School of Information, Capital University of Economics and Business, Beijing, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2019,6,11]]},"reference":[{"key":"e_1_3_2_2_2","doi-asserted-by":"publisher","DOI":"10.1002\/sapm192321131"},{"key":"e_1_3_2_3_2","first-page":"519","article-title":"Stochastic integral","author":"Ito K.","year":"1944","unstructured":"K.Ito, Stochastic integral, In: Proceedings of the Japan Academy, 1944, pp. 519\u2013524.","journal-title":"Proceedings of the Japan Academy"},{"key":"e_1_3_2_4_2","doi-asserted-by":"publisher","DOI":"10.1086\/260062"},{"key":"e_1_3_2_5_2","doi-asserted-by":"publisher","DOI":"10.1016\/0022-0531(71)90038-X"},{"key":"e_1_3_2_6_2","doi-asserted-by":"publisher","DOI":"10.1115\/1.3658902"},{"key":"e_1_3_2_7_2","doi-asserted-by":"publisher","DOI":"10.2307\/1914185"},{"key":"e_1_3_2_8_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-44354-5"},{"key":"e_1_3_2_9_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-540-73165-8_5"},{"key":"e_1_3_2_10_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-13959-8"},{"key":"e_1_3_2_11_2","first-page":"3","article-title":"Some research problems in uncertainty theory","volume":"3","author":"Liu B.","year":"2009","unstructured":"B.Liu, Some research problems in uncertainty theory, Journal of Uncertain Systems 3 (2009), 3\u201310.","journal-title":"Journal of Uncertain Systems"},{"key":"e_1_3_2_12_2","first-page":"250","article-title":"Uncertain integral with respect to multiple canonical processes","volume":"6","author":"Liu B.","year":"2012","unstructured":"B.Liu and K.Yao, Uncertain integral with respect to multiple canonical processes, Journal of Uncertain Systems 6 (2012), 250\u2013255.","journal-title":"Journal of Uncertain Systems"},{"key":"e_1_3_2_13_2","doi-asserted-by":"publisher","DOI":"10.1186\/2195-5468-1-3"},{"key":"e_1_3_2_14_2","first-page":"3","article-title":"Fuzzy process, hybrid process and uncertain process","volume":"2","author":"Liu B.","year":"2008","unstructured":"B.Liu, Fuzzy process, hybrid process and uncertain process, Journal of Uncertain Systems 2 (2008), 3\u201316.","journal-title":"Journal of Uncertain Systems"},{"key":"e_1_3_2_15_2","doi-asserted-by":"publisher","DOI":"10.1007\/s10700-010-9073-2"},{"key":"e_1_3_2_16_2","doi-asserted-by":"publisher","DOI":"10.1007\/s10700-012-9139-4"},{"key":"e_1_3_2_17_2","doi-asserted-by":"publisher","DOI":"10.3233\/IFS-120688"},{"key":"e_1_3_2_18_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.apm.2013.11.037"},{"key":"e_1_3_2_19_2","doi-asserted-by":"publisher","DOI":"10.1007\/s00500-014-1392-8"},{"key":"e_1_3_2_20_2","doi-asserted-by":"publisher","DOI":"10.1186\/s40467-015-0031-y"},{"key":"e_1_3_2_21_2","doi-asserted-by":"publisher","DOI":"10.1007\/s10700-014-9204-2"},{"key":"e_1_3_2_22_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2017.05.080"},{"key":"e_1_3_2_23_2","doi-asserted-by":"publisher","DOI":"10.3233\/JIFS-17354"},{"key":"e_1_3_2_24_2","doi-asserted-by":"publisher","DOI":"10.3233\/JIFS-171399"}],"container-title":["Journal of Intelligent &amp; 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