Galerkin Methods in the Constructive Solvability of Nonlinear Hammerstein Equations with Applications to Differential Equations

DOI10.2307/1997811zbMath0392.45014OpenAlexW4249834490MaRDI QIDQ4173793

W. V. Petryshyn, Patrick M. Fitzpatrick

Publication date: 1978

Full work available at URL: https://doi.org/10.2307/1997811

zbMATH Keywords

Hilbert SpaceHammerstein EquationConstructive Solvability of Nonlinear Hammerstein EquationsGalerkin EquationGalerkin SchemePerturbed OperatorsReal Banach SpacesStrongly Monotone Operator

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Nonlinear boundary value problems for ordinary differential equations (34B15) Other nonlinear integral equations (45G10) Abstract integral equations, integral equations in abstract spaces (45N05) Theoretical approximation of solutions to integral equations (45L05)

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Cites Work

• Functional analysis and partial differential equations. II
• Monotone operators and nonlinear biharmonic boundary value problems
• Équations et inéquations non linéaires dans les espaces vectoriels en dualité
• Ein Existenz- und Eindeutigkeitssatz für die Hammersteinsche Gleichung in Banachräumen
• Zum Galerkin-Verfahren für die Hammersteinsche Gleichung
• Monotone operators and nonlinear integral equations of Hammerstein type
• New Existence Theorems for Nonlinear Equations of Hammerstein Type
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