Differentiability of multivalued functions on time scales and applications to multivalued dynamic equations
Differentiability of multivalued functions on time scales and applications to multivalued dynamic equations
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DOI：
10.1016/j.na.2009.02.023
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发表时间：
2009-11-01
影响因子：
1.4
通讯作者：
Hong, Shihuang
中科院分区：
文献类型：
--
作者：
Hong, Shihuang
本文提出了一类新的多值函数在时标上的导数，称为Hukuhara-Hilger导数，适合于我们研究多值动力方程。此外，还讨论了Hukuhara-Hilger导数的一些相应性质.所提出的方法形成了适当的环境中，多值动态包含时间尺度上的研究可以开发。多值动力学方程的第一个例子。(C)2009爱思唯尔有限公司版权所有。
In this paper, a class of new derivatives of multivalued functions on a time scale, called the Hukuhara-Hilger derivative, suited to our study of multivalued dynamic equations is developed. Moreover, some corresponding properties of the Hukuhara-Hilger derivative are discussed. The proposed approach forms the appropriate environment within which the study of multivalued dynamic inclusions on time scales can be developed. A first example of multivalued dynamic equations is included. (C) 2009 Elsevier Ltd. All rights reserved.