Some Applications of Nonabsolute Integrals in the Theory of Differential Inclusions in Banach Spaces
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Publication:2909314
DOI10.1007/978-3-0346-0211-2_11zbMath1253.34055OpenAlexW55231793MaRDI QIDQ2909314
Mieczysław Cichoń, Kinga Chichon
Publication date: 30 August 2012
Published in: Vector Measures, Integration and Related Topics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-0346-0211-2_11
differential inclusionsselectionsnonlocal Cauchy problemsPettis integralsAumann integralsHenstock-Kurzweil-Pettis integrals
Set-valued set functions and measures; integration of set-valued functions; measurable selections (28B20) Evolution inclusions (34G25)
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Gauge integrals and selections of weakly compact valued multifunctions ⋮ On solutions of fractional order boundary value problems with integral boundary conditions in Banach spaces ⋮ Solution tube method for impulsive periodic differential inclusions of first order ⋮ Second order three-point boundary value problems in abstract spaces ⋮ A vector Girsanov result and its applications to conditional measures via the Birkhoff integrability ⋮ An extension of the Birkhoff integrability for multifunctions ⋮ A Girsanov result for the Pettis integral ⋮ On the solutions of Caputo-Hadamard Pettis-type fractional differential equations ⋮ Comparison between Birkhoff integral and Gould integral
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