Regularity of solution sets for differential inclusions quasi-concave in a parameter

被引：49

作者：

Diamond, P ^{[1
]}

Watson, P ^{[1
]}

机构：

[1] Univ Queensland, Dept Math, Brisbane, Qld 4072, Australia

来源：

APPLIED MATHEMATICS LETTERS | 2000年 / 13卷 / 01期

关键词：

differential inclusion; quasi-concave; fuzzy differential equation;

D O I：

10.1016/S0893-9659(99)00141-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 [应用数学];

摘要：

The concept of quasi-concavity is extended to multifunctions. It is then shown that if the velocity of a differential inclusion is regularly quasi-concave in a parameter, the solution set and attainability set are also dependent upon the parameter in like manner. The result is applied to give a vastly improved notion of fuzzy differential equations. (C) 1999 Elsevier Science Ltd. All rights reserved.

引用

页码：31 / 35

页数：5

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