A multidimensional analogue of the Denjoy-Perron-Henstock-Kurzweil integral

zbMath0929.26009MaRDI QIDQ1281198

Dang Dinh Ang, Vy Khoi Le, Klaus Schmitt

Publication date: 6 April 1999

Published in: Bulletin of the Belgian Mathematical Society - Simon Stevin (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/120075

zbMATH Keywords

wave equationdistributionsDenjoy-Perron integraldivergence theoremsFubini theoremsgeneralized integralnon-absolutely convergent multidimensional integrals

Mathematics Subject Classification ID

Wave equation (35L05) Integration of real functions of several variables: length, area, volume (26B15) Denjoy and Perron integrals, other special integrals (26A39)

Related Items (13)

On the Darboux problem involving the distributional Henstock-Kurzweil integral ⋮ The distributional Henstock-Kurzweil integral and applications ⋮ The regulated primitive integral ⋮ The double Fourier transform of non-Lebesgue integrable functions of bounded Hardy-Krause variation ⋮ Henstock-Kurzweil vector distributions ⋮ Non-absolutely convergent integrals with respect to distributions ⋮ On first-order periodic boundary value problems and distributional Henstock-Kurzweil integrals ⋮ Existence theorems for nonlinear second-order three-point boundary value problems involving the distributional Henstock-Kurzweil integral ⋮ Solving Poisson equation by distributional HK-integral: prospects and limitations ⋮ On the factorization theorem for the tensor product of integrable distributions ⋮ Convolutions with the continuous primitive integral ⋮ The continuous primitive integral in the plane ⋮ On second order nonlinear boundary value problems and the distributional Henstock-Kurzweil integral

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