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The solution and inverse uncertainty distribution of solution of uncertain spring vibration equation in different cases have been derived, respectively. This paper proves an existence and uniqueness theorem of solution for general uncertain spring vibration equation in different cases under linear growth condition and Lipschitz condition.<\/jats:p>","DOI":"10.3233\/jifs-18467","type":"journal-article","created":{"date-parts":[[2018,7,24]],"date-time":"2018-07-24T17:34:18Z","timestamp":1532453658000},"page":"2607-2617","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":10,"title":["Existence and uniqueness theoremfor uncertain spring vibration equation"],"prefix":"10.1177","volume":"35","author":[{"given":"Lifen","family":"Jia","sequence":"first","affiliation":[{"name":"Department of Mathematical Sciences, Tsinghua University, Beijing, China"}]},{"given":"Xiangfeng","family":"Yang","sequence":"additional","affiliation":[{"name":"School of Information Technology and Management, University of International Business and Economics, Beijing, China"}]}],"member":"179","published-online":{"date-parts":[[2018,7,20]]},"reference":[{"key":"e_1_3_2_2_2","doi-asserted-by":"publisher","DOI":"10.1007\/s10700-010-9073-2"},{"key":"e_1_3_2_3_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2016.12.003"},{"key":"e_1_3_2_4_2","unstructured":"JiaL. and DaiW. 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