On the solution of a mixed nonlinear integral equation

DOI10.1016/j.amc.2010.12.016zbMath1209.65140OpenAlexW2065950129MaRDI QIDQ628899

Juan-Miguel Gracia

Publication date: 8 March 2011

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.12.016

zbMATH Keywords

convergencenumerical exampleserror boundsystem of Hammerstein integral equationsCarleman kernelnonlinear algebraic systemlogarithmic kernelHammerstein-Volterra integral equationmixed nonlinear integral equationmodified Toeplitz matrix method

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Systems of nonlinear integral equations (45G15) Singular nonlinear integral equations (45G05)

Related Items

Solvability, stability, smoothness and compactness of the set of solutions for anonlinear functional integral equation ⋮ High-order convergence of multistep collocation methods for nonstandard Volterra integral equations ⋮ The existence and compactness of the set of solutions for a 2-order nonlinear integrodifferential equation in N variables in a Banach space ⋮ On nonlinear integrodifferential equations in two variables ⋮ Error estimates for series solutions to a class of nonlinear integral equations of mixed type ⋮ The existence and compactness of the set of solutions for a nonlinear integrodifferential equation in N variables in a Banach space ⋮ A continuum of solutions in a Fréchet space of a nonlinear functional integral equation in N variables ⋮ Existence of asymptotically stable solutions for a mixed functional nonlinear integral equation in N variables

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