Mean value theorem and semigroups of operators for interval-valued functions on time scales

Year 2021, Volume: 50 Issue: 1, 79 - 91, 04.02.2021

Yonghong Shen

https://doi.org/10.15672/hujms.644665

Abstract

In this paper, a new version of mean value theorem for interval-valued functions on time scales is established. Meantime, some basic concepts and results associated with semigroups of operators for interval-valued functions on time scales are presented. As an application of semigroups of operators, under certain conditions, we consider the initial value problem for interval-valued differential equations on time scales. Finally, two issues worthy of further discussion are presented.

Keywords

interval-valued functions, mean value theorem, semigroup of operators, time scales

Supporting Institution

National Natural Science Foundation of China

Project Number

11701425

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