文章基本信息

标题：On the interval differential equation: novel solution methodology
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作者：Mohadeseh Ramezanadeh ; Mohammad Heidari ; Omid Solaymani Fard 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2015
卷号：2015
期号：1
页码：338
DOI：10.1186/s13662-015-0671-8
语种：English
出版社：Hindawi Publishing Corporation
摘要：In this study, by a parametric representation of interval numbers, two parametric representations for interval-valued functions are presented. Then, using these representations, the calculus of interval-valued functions and interval differential equations are investigated with two different approaches. In the first approach, the interval differential is transformed into a crisp problem. In the second approach, two solutions are obtained with the characterization of the solutions of two ordinary differential equation systems.
关键词：interval arithmetic ; interval-valued function ; interval differential equation