| Full text | |
| Author(s): |
Total Authors: 4
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| Affiliation: | [1] Univ Colorado, Dept Math & Stat Sci, Denver, CO 80204 - USA
[2] Univ Tarapaca, Inst Alta Invest, Casilla 7-D, Arica - Chile
[3] UNESP Univ Estadual Paulista, Dept Appl Math, Sao Jose Do Rio Preto - Brazil
Total Affiliations: 3
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| Document type: | Journal article |
| Source: | FUZZY SETS AND SYSTEMS; v. 347, p. 129-141, SEP 15 2018. |
| Web of Science Citations: | 1 |
| Abstract | |
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 g H-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. (C) 2017 Elsevier B.V. All rights reserved. (AU) | |
| FAPESP's process: | 13/07375-0 - CeMEAI - Center for Mathematical Sciences Applied to Industry |
| Grantee: | Francisco Louzada Neto |
| Support Opportunities: | Research Grants - Research, Innovation and Dissemination Centers - RIDC |