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Article type: Research Article
Authors: Jia, Lifena | Yang, Xiangfengb; *
Affiliations: [a] Department of Mathematical Sciences, Tsinghua University, Beijing, China | [b] School of Information Technology and Management, University of International Business and Economics, Beijing, China
Correspondence: [*] Corresponding author. Xiangfeng Yang, School of Information Technology and Management, University of International Business and Economics, Beijing 100029, China. Tel: +86 1064495031; E-mail: yangxf@uibe.edu.cn.
Abstract: Uncertain spring vibration equation is a type of uncertain differential equations, whose external force is affected by an uncertain interference. 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.
Keywords: Spring vibration equation, uncertain differential equation, uncertain process, uncertainty theory
DOI: 10.3233/JIFS-18467
Journal: Journal of Intelligent & Fuzzy Systems, vol. 35, no. 2, pp. 2607-2617, 2018
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