On noncompact Hammerstein integral equations and a nonlinear boundary value problem for the heat equation

DOI10.1216/jiea/1181075665zbMath0766.45003OpenAlexW2050062422MaRDI QIDQ1188398

Paul P. B. Eggermont

Publication date: 13 August 1992

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/jiea/1181075665

zbMATH Keywords

heat equationnonlinear boundary value problemWiener-Hopf equationVolterra equationnoncompact Hammerstein integral

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Other nonlinear integral equations (45G10) Heat equation (35K05) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Related Items

Discrete projection methods for Hammerstein integral equations on the half-line, 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, Discrete projection methods for Fredholm-Hammerstein integral equations using Kumar and Sloan technique, Nonlinear integral equations on the half line, Projection and multi projection methods for nonlinear integral equations on the half-line

Cites Work

• Bounded continuous functions on a locally compact space
• Nonlinear integral equations on the half line
• Spectral approximations for Wiener-Hopf operators. II
• Uniform Error Estimates of Operational Quadrature Methods for Nonlinear Convolution Equations on the Half-Line
• Uniform Error Estimates of Galerkin Methods for Monotone Abel-Volterra Integral Equations on the Half-Line
• Diffusion in a Semi-Infinite Region with Nonlinear Surface Dissipation
• The Numerical Solution of Integral Equations on the Half-Line
• Integral equations on a half-line with kernel depending upon the difference of the arguments
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