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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 50 Issue: 1

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

Yonghong Shen(Tianshui Normal University)0000-0002-1525-851X
Sayfa
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Yayın Tarihi
2021-02-04
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Finally, two issues worthy of further discussion are presented.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, a new version of mean value theorem for interval-valued functions on time scales is established.
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Temel Bulgular & Veri:Meantime, some basic concepts and results associated with semigroups of operators for interval-valued functions on time scales are presented.
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Sonuç & Katkı:Finally, two issues worthy of further discussion are presented.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

Shen, Y. (2021). Mean value theorem and semigroups of operators for interval-valued functions on time scales. Hacettepe Journal of Mathematics and Statistics, Volume: 50 Issue: 1. https://doi.org/10.15672/hujms.644665

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Kaynakça (12)

  1. M. Bohner and A. Peterson, Dynamic Equations on Time Scales: An Introduction with Applications, Birkhäuser Boston Inc., Boston, MA, 2001.
  2. M. Bohner and A. Peterson, Advances in Dynamic Equations on Time Scales, Birkhäuser, Boston, 2003.
  3. Y. Chalco-Cano, A. Rufián-Lizana, H. Román-Flores and M.D. Jiménez-Gamero, Calculus for interval-valued functions using generalized Hukuhara derivative and applications, Fuzzy Sets Syst. 219, 49–67, 2013.
  4. C.G. Gal and S.G. Gal, Semigroups of operators on spaces of fuzzy-number-valued functions with applications to fuzzy differential equations, J. Fuzzy Math. 13, 647– 682, 2005.
  5. A.E. Hamza and K.M. Oraby, Semigroups of operators and abstract dynamic equations on time scales, Appl. Math. Comput. 270, 334–348, 2013.
  6. S. Hilger, Ein Makettenkalkül mit Anwendung auf Zentrumsmannigfaltigkeiten, Ph.D. thesis, Universität Würzburg, 1988.
  7. V. Lupulescu, Hukuhara differentiability of interval-valued functions and interval differential equations on time scales, Inform. Sciences, 248, 50–67, 2013.
  8. S. Markov, Calculus for interval functions of a real variable, Computing, 22, 325–337, 1979.
  9. S. Markov, On the algebraic properties of convex bodies and some applications, J. Convex Anal. 7, 129–166, 2000.
  10. L. Stefanini, A generalization of Hukuhara difference and division for interval and fuzzy arithmetic, Fuzzy Sets Syst. 161, 1564–1584, 2010.
  11. L. Stefanini and B. Bede, Generalized Hukuhara differentiability of interval-valued functions and interval differential equations, Nonlinear Anal. 71, 1311–1328, 2009.
  12. J. Tao and Z. Zhang, Properties of interval-valued function space under the gH-difference and their application to semi-linear interval differential equations, Adv. Differ. Equ. 2016, Article number: 45, 2016.