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Journals / Hacettepe Journal of Mathematics and Statistics / 2021 / Cilt: 50 - Sayı: 1

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

Yonghong Shen
Pages
79–91
Publication Date
2022-10-18
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Finally, two issues worthy of further discussion are presented.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, a new version of mean value theorem for interval-valued functions on time scales is established.
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Key Findings & Data:Meantime, some basic concepts and results associated with semigroups of operators for interval-valued functions on time scales are presented.
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Conclusion & Impact:Finally, two issues worthy of further discussion are presented.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:interval-valued functions · mean value theorem · semigroup of operators

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.

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Cite This Article

Shen, Y. (2022). Mean value theorem and semigroups of operators for interval-valued functions on time scales. Hacettepe Journal of Mathematics and Statistics, Cilt: 50 - Sayı: 1, 79–91. https://ajindex.com/articles/529442

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References (12)

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