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 : 17 | Download : 4

Publication Date : 2021-02-04

Article Type : Research Paper

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