- Hacettepe Journal of Mathematics and Statistics
- Vol: 50 Issue: 1
- Mean value theorem and semigroups of operators for interval-valued functions on time scales
Mean value theorem and semigroups of operators for interval-valued functions on time scales
Authors : Yonghong Shen
Pages : 79-91
Doi:10.15672/hujms.644665
View : 12 | Download : 3
Publication Date : 2021-02-04
Article Type : Research
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