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On Asymptotic Behavior of Blow-Up Solutions to Higher-Order Differential Equations with General Nonlinearity Read chapter Read first chapter

2018 | OriginalPaper | Chapter

The Fuzzy Henstock–Kurzweil Delta Integral on Time Scales

Authors : Dafang Zhao, Guoju Ye, Wei Liu, Delfim F. M. Torres

Published in: Differential and Difference Equations with Applications

Publisher: Springer International Publishing

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Abstract

We investigate properties of the fuzzy Henstock–Kurzweil delta integral (shortly, FHK \(\varDelta \)-integral) on time scales, and obtain two necessary and sufficient conditions for FHK \(\varDelta \)-integrability. The concept of uniformly FHK \(\varDelta \)-integrability is introduced. Under this concept, we obtain a uniformly integrability convergence theorem. Finally, we prove monotone and dominated convergence theorems for the FHK \(\varDelta \)-integral.

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previous chapter Oscillation of Third Order Mixed Type Neutral Difference Equations
next chapter Oscillation of Sublinear Second Order Neutral Differential Equations via Riccati Transformation
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Metadata
Title
The Fuzzy Henstock–Kurzweil Delta Integral on Time Scales
Authors
Dafang Zhao
Guoju Ye
Wei Liu
Delfim F. M. Torres
Copyright Year
2018
Book
Differential and Difference Equations with Applications

Print ISBN: 978-3-319-75646-2

Electronic ISBN: 978-3-319-75647-9

Copyright Year: 2018

DOI
https://doi.org/10.1007/978-3-319-75647-9_41

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