Hukuhara differentiability of continuous sine and cosine families of linear set-valued functions

DOI10.1007/s10474-021-01193-zzbMath1497.47061OpenAlexW4200485791MaRDI QIDQ2064775

Yanyan Li

Publication date: 6 January 2022

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-021-01193-z

zbMATH Keywords

continuityHukuhara's derivativeRiemann integral of set-valued functionssecond-order differential problemset-valued sine and cosine families

Mathematics Subject Classification ID

Set-valued operators (47H04) Functional equations for functions with more general domains and/or ranges (39B52) Operator sine and cosine functions and higher-order Cauchy problems (47D09)

Cites Work

• On the regular cosine family of linear correspondences
• On Hukuhara's differentiable iteration semigroups of linear set-valued functions
• Increasing iteration semigroups of Jensen set-valued functions
• Integral representation of set-valued sine families
• Some properties of set-valued sine families
• Hukuhara's Derivative and Concave Iteration Semigroups of Linear Set-Valued Functions
• Regular cosine families of linear set-valued functions
• An Embedding Theorem for Spaces of Convex Sets
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