Regulated functions with values in Banach space

DOI10.21136/MB.2019.0124-19MaRDI QIDQ3297163

Dana Fraňková

Publication date: 2 July 2020

Published in: Mathematica Bohemica (Search for Journal in Brave)

zbMATH Keywords

bounded variationrelative compactnessregulated function\(\varphi\)-variationequiregulated setfunction with values in a Banach space

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Functions of bounded variation, generalizations (26A45) Calculus of functions taking values in infinite-dimensional spaces (26E20)

Related Items (10)

Existence, uniqueness, variation-of-constant formula and controllability for linear dynamic equations with Perron Δ-integrals ⋮ On regulated functions ⋮ Viscous approximations of non-convex sweeping processes in the space of regulated functions ⋮ Periodic solutions of neutral functional differential equations ⋮ A càdlàg rough path foundation for robust finance ⋮ On stability for generalized linear differential equations and applications to impulsive systems ⋮ A selection theorem for essentially regulated functions of several variables ⋮ Periodic solutions of measure functional differential equations ⋮ Non-convex sweeping processes in the space of regulated functions ⋮ Set-valued problems under bounded variation assumptions involving the Hausdorff excess

Cites Work

• Duality in the space of regulated functions and the play operator
• Linear Stieltjes integral equations in Banach spaces
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