Approximation of solutions of nonlinear operator equation on the half line

DOI10.1016/S0898-1221(98)00058-3zbMath0999.47054MaRDI QIDQ1608457

Donal O'Regan

Publication date: 6 August 2002

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

existenceapproximationfixed point approachstrict convergencecollectively compactnonlinear operator equation on the half line

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Equations involving nonlinear operators (general) (47J05) Other nonlinear integral equations (45G10) Fixed-point theorems (47H10) Numerical solutions to equations with nonlinear operators (65J15) Theoretical approximation of solutions to integral equations (45L05)

Related Items

Convergence analysis of Galerkin and multi-Galerkin methods for nonlinear-Hammerstein integral equations on the half-line using Laguerre polynomials ⋮ Superconvergence results for non-linear Hammerstein integral equations on unbounded domain ⋮ A generalized collectively compact operator theory with an application to integral equations on unbounded domains ⋮ A directly convergent numerical method based on orthoexponential polynomials for solving integro-differential-delay equations with variable coefficients and infinite boundary on half-line ⋮ A multiplicity fixed point theorem in Fréchet spaces ⋮ Nonlinear operator inclusions on the half line ⋮ Nonlinear operator theory ⋮ Limit operators, collective compactness, and the spectral theory of infinite matrices ⋮ Existence and approximation of fixed points for multivalued maps ⋮ Projection and multi projection methods for nonlinear integral equations on the half-line ⋮ Nonoscillation of higher order mixed differential equations with distributed delays ⋮ Fixed point theory in Fréchet spaces and variational inequalities

Cites Work

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• Some existence results for nonlinear integral equations via topological transversality
• Nonlinear integral equations on the half line
• Continuation fixed point theorems for locally convex linear topological spaces
• Numerical solutions of integral equations on the half line. I: The compact case
• Perturbation of linear abstract Volterra equations
• A continuation method on locally convex spaces and applications to ordinary differential equations on noncompact intervals
• Some fixed point theorems for concentrative mappings between locally convex linear topological spaces
• The Numerical Solution of Integral Equations on the Half-Line

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