Extension of nonlinear densely defined operators, rates of convergence for the error and the residual, and application to differential equations

DOI10.1016/0022-247X(78)90012-4zbMath0396.47030MaRDI QIDQ1253432

E. Conjura, W. V. Petryshyn

Publication date: 1978

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Boundary Problems for Ordinary Differential OperatorsBoundary Problems for Partial Differential OperatorsDemicontinuous OperatorsK-Positive Definit OperatorsSolvable Extensions

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) General theory of ordinary differential operators (47E05) General theory of partial differential operators (47F05)

Related Items

Nonlinear friedrichs' extension of K-strongly stable operators and the error estimate for the Galerkin method

Cites Work

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• Functional analysis and partial differential equations. II
• Monotone operators and nonlinear biharmonic boundary value problems
• Remarks on nonlinear functional equations. II, III
• On a class of K-p.d. and non-K-p.d. operators and operator equations
• On the extension and the solution of nonlinear operator equations
• Integral inequalities for two functions
• Linear and quasilinear elliptic equations
• A Leray-Schauder theorem for a class of nonlinear operators
• On projectional-solvability and the Fredholm alternative for equations involving linear A-proper operators
• Numerical methods of high-order accuracy for nonlinear boundary value problems. V: Monotone operator theory
• On the rate of convergence of some projection methods for linear operator equations
• Some Bifurcation Theory for k -Set Contractions
• On the approximation-solvability of equations involving 𝐴-proper and pseudo-𝐴-proper mappings
• Über die Erweiterung nichtlinearer Randwertprobleme und die Existenz von Lösungen
• Galerkin Methods in the Constructive Solvability of Nonlinear Hammerstein Equations with Applications to Differential Equations
• On two variants of a method for the solution of linear equations with unbounded operators and their applications
• Zur Konstruktion von Minimalfolgen für das Funktional des ebenen elastisch‐plastischen Spannungszustandes
• Die Regularisierung nichtlinearer Gleichungen
• On kernels, eigenvalues, and eigenfunctions of operators related to elliptic problems
• The site of termination of afferent fibres in the caudate nucleus
• Über Gleichungen mit Potentialoperatoren und Minimalfolgen nicht quadratischer Funktionale
• Über die Linearisierung der R<scp>ITZ</scp>schen Methode bei Anwendung auf nichtlineare Gleichungen
• Berechnung von Kerbfaktoren gezogener Scheiben bei nichtlinearem Elastizitätsgesetz