Compactness result and its applications in integral equations

DOI10.1515/JAA-2016-0016zbMath1453.54005arXiv1505.02533OpenAlexW2963426474MaRDI QIDQ350337

Mateusz Krukowski, Bogdan Przeradzki

Publication date: 7 December 2016

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

Full work available at URL: https://arxiv.org/abs/1505.02533

zbMATH Keywords

Fredholm operatorscompact operatorsArzelà-Ascoli theoremHammerstein operatorsUrysohn operators

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Fixed-point and coincidence theorems (topological aspects) (54H25) Applications of operator theory to differential and integral equations (47N20) Integral operators (45P05) Integral operators (47G10) Connected and locally connected spaces (general aspects) (54D05) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (4)

Arzelà-Ascoli's theorem in uniform spaces ⋮ A measure of non-compactness on T_3½ spaces based on Arzelà-Ascoli type theorem ⋮ Arzelà-Ascoli theorem via the Wallman compactification ⋮ Urysohn and Hammerstein operators on Hölder spaces

Cites Work

• The Classical Theory of Integral Equations
• Integration and Modern Analysis
• The existence of bounded solutions for differential equations in Hilbert spaces
• Hammerstein equations with an integral over a noncompact domain
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