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

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

References

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