The Henstock integral for Banach-valued functions
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Publication:1196430
zbMath0749.28007MaRDI QIDQ1196430
Publication date: 14 December 1992
Published in: Southeast Asian Bulletin of Mathematics (Search for Journal in Brave)
Vector-valued set functions, measures and integrals (28B05) Denjoy and Perron integrals, other special integrals (26A39)
Related Items (30)
Gauge integrals and selections of weakly compact valued multifunctions ⋮ Semilinear evolution equations with distributed measures ⋮ The McShane, PU and Henstock integrals of Banach valued functions ⋮ A Riesz representation theorem for the space of Henstock integrable vector-valued functions ⋮ Existence results for Urysohn integral inclusions involving the Henstock integral ⋮ A Cauchy Problem on Time Scales with Applications ⋮ On Henstock--Kurzweil and McShane integrals of Banach space-valued functions ⋮ Second order three boundary value problem in Banach spaces via Henstock and Henstock-Kurzweil-Pettis integral ⋮ Regulated solutions for nonlinear measure driven equations ⋮ The Radon Nikodym property and multipliers of \(\mathcal{HK}\)-integrable functions ⋮ A descriptive definition of the backwards Itô-Henstock integral ⋮ Controlled convergence theorems for infinite dimension Henstock integrals of fuzzy valued functions based on weak equi-integrability ⋮ Impulsive nonlocal differential equations through differential equations on time scales ⋮ Dunford-Henstock-Kurzweil and Dunford-McShane integrals of vector-valued functions defined on \(m\)-dimensional bounded sets ⋮ Unnamed Item ⋮ Solution tube method for impulsive periodic differential inclusions of first order ⋮ Henstock-Kurzweil vector distributions ⋮ Nonlinear integrodifferential equations of mixed type in Banach spaces ⋮ Henstock and McShane integrals for Banach-valued functions ⋮ The new extensions of the Henstock-Kurzweil and the McShane integrals of vector-valued functions ⋮ Existence theory for integrodifferential equations and Henstock-Kurzweil integral in Banach spaces ⋮ On solutions of differential equations in Banach spaces ⋮ Set-valued Kurzweil-Henstock-Pettis integral ⋮ A variational Henstock integral characterization of the Radon-Nikodým property ⋮ The set of solutions of Volterra and Urysohn integral equations in Banach spaces ⋮ The Henstock-Kurzweil-Pettis Integrals and Existence Theorems for the Cauchy Problem ⋮ The Bochner-convolution integral for generalized functional-valued functions of discrete-time normal martingales ⋮ On the $SL$-integral of LCTVS-valued functions ⋮ A new result on impulsive differential equations involving non-absolutely convergent integrals ⋮ Variations and variational measures in integration theory and some applications
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