Solving Poisson equation by distributional HK-integral: prospects and limitations

DOI10.1155/2021/5511283zbMath1486.35152OpenAlexW3179280402MaRDI QIDQ1980368

Sanath K. Boralugoda, Naleen C. Ganegoda, Kaushika De Silva, Amila J. Maldeniya

Publication date: 8 September 2021

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2021/5511283

zbMATH Keywords

Poisson equationHenstock-Kurzweil integral

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Integration of real functions of several variables: length, area, volume (26B15)

Cites Work

• On nonlinear distributional and impulsive Cauchy problems
• The continuous primitive integral in the plane
• The space of Henstock integrable functions of two variables
• A multidimensional analogue of the Denjoy-Perron-Henstock-Kurzweil integral
• Numerical solution of some differential equations with Henstock-Kurzweil functions
• On second order nonlinear boundary value problems and the distributional Henstock-Kurzweil integral
• Existence theory for integrodifferential equations and Henstock-Kurzweil integral in Banach spaces
• Periodic orbits of alternating systems
• Estimates of Henstock-Kurzweil Poisson Integrals
• On Definitions of Bounded Variation for Functions of Two Variables
• Linear functionals on Denjoy-integrable functions
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