Generalized derivative and π-derivative for set-valued functions

被引：138

作者：

Chalco-Cano, Y. ^{[1
]}

Roman-Flores, H. ^{[2
]}

Jimenez-Gamero, M. D. ^{[3
]}

机构：

[1] Univ Tarapaca, Dept Matemat, Arica, Chile

[2] Univ Tarapaca, Inst Invest, Arica, Chile

[3] Univ Seville, Dpto Estadist & IO, E-41012 Seville, Spain

来源：

INFORMATION SCIENCES | 2011年 / 181卷 / 11期

关键词：

Differentiable set-valued functions; pi-Derivative for set-valued functions; Interval differential equations; FUZZY DIFFERENTIAL-EQUATIONS; EXISTENCE; INTERVAL; INCLUSIONS; CALCULUS;

D O I：

10.1016/j.ins.2011.01.023

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper we study the generalized derivative and the pi-derivative for interval-valued functions. We show the connections between these derivatives. Some illustrative examples and applications to interval differential equations and fuzzy functions are presented. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：2177 / 2188

页数：12

共 46 条

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Agarwal RP, 2007, DIFFER EQU APPL, V5, P1

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