Approximate solvability of hammerstein equation

DOI10.1080/01630568708816273zbMath0621.47014OpenAlexW1969203011MaRDI QIDQ3756838

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Publication date: 1987

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630568708816273

zbMATH Keywords

asymptotic compactnessmonotone operatorsapproximate solvabilityHammerstein operator equationtwo point nonlinear boundary value problem

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Integral operators (45P05) Equations and inequalities involving linear operators, with vector unknowns (47A50) Integral, integro-differential, and pseudodifferential operators (47Gxx)

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Cites Work

• Nonlinear integral equations and systems of Hammerstein type
• Ein Existenz- und Eindeutigkeitssatz für die Hammersteinsche Gleichung in Banachräumen
• Global iteration schemes for monotone operators
• Compactness principles in nonlinear operator approximation theory
• Diskrete Approximation der Hammersteinschen Gleichung mit einer Anwendung auf die Quadraturformelmethode für Hammersteinsche Integralgleichungen
• Monotone operators and nonlinear integral equations of Hammerstein type
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