Linear Fredholm Integral Equations and the Integral of Kurzweil

DOI10.1515/JAA.2002.83zbMath1043.45010MaRDI QIDQ4781404

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Publication date: 17 June 2003

Published in: Journal of Applied Analysis (Search for Journal in Brave)

zbMATH Keywords

Banach spacesFredholm integral equationboundary value problemsHenstock integralFredholm alternativeKurzweil integral

Mathematics Subject Classification ID

Fredholm integral equations (45B05) Linear boundary value problems for ordinary differential equations (34B05) Denjoy and Perron integrals, other special integrals (26A39) Abstract integral equations, integral equations in abstract spaces (45N05)

Related Items (6)

Compact operators and integral equations in the $\cal{HK}$ space ⋮ Monotone convergence theorems for Henstock-Kurzweil integrable functions and applications ⋮ Equations containing locally Henstock-Kurzweil integrable functions. ⋮ Differential and integral equations with Henstock-Kurzweil integrable functions ⋮ Well-posedness results for differential and integral equations containing Henstock-Kurzweil integrable vector-valued functions ⋮ Convergence theorems for HL integrable vector-valued functions with applications

Cites Work

• Feynman's Path Integrals and Henstock's Non-Absolute Integration
• A Riemann-Type Integral of Lebesgue Power

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