A new approach to linear interval differential equations as a first step toward solving fuzzy differential

• Autor(a) principal: da Costa, Tiago M.
• Data de Publicação: 2018
• Outros Autores: Chalco-Cano, Yurilev, Lodwick, Weldon A., Silva, Geraldo N. [UNESP]
• Tipo de documento: Artigo
• Idioma: eng
• Título da fonte: Repositório Institucional da UNESP
• Texto Completo: http://dx.doi.org/10.1016/j.fss.2017.10.008; http://hdl.handle.net/11449/179338
• topic: Interval differentiability; Interval initial value problems; Interval linear differential equations; Interval-valued functions

This study uses a concept of interval differentiability, which was recently introduced, to formulate interval initial value problems involving linear interval differential equations. Differently from the approaches that use the gH-differentiability, this study does not make use of a criterion of choice for switching points in order to obtain solutions for such problems. The method herein presented provides solutions in a simple, straightforward, and computationally tractable way. Moreover, these solutions are intuitive because they coincide with the solutions given by a differential inclusion method. The efficiency and practicality of our approach are illustrated through some examples that have appeared in other articles.