Nonlinearly weighted \(L^1\)-solvability of the first kind Fredholm integral equation

DOI10.1006/jmaa.2000.6736zbMath0971.45001OpenAlexW2045854934MaRDI QIDQ1977776

Nassar H. S. Haidar

Publication date: 8 May 2001

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

Full work available at URL: https://doi.org/10.1006/jmaa.2000.6736

zbMATH Keywords

analytical solutionexplicit solutionbifurcation pointdegenerate kernelfirst kind Fredholm integral equationgeneralized moment probleminverse-problem formulationnonlinearly weighted \(L^1\)-solvabilityUrysohn-type regularizing integral equation

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Fredholm integral equations (45B05)

Related Items (1)

The exact solution for solving a class nonlinear operator equations in the reproducing kernel space.

Cites Work

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• Iterative methods for best approximate solutions of linear integral equations of the first and second kinds
• On Existence Criteria and Approximation Procedures for Integral Equations of the First Kind
• The collocational double series inverse in quasilinear regularizer form
• A nonlinear method for a severely ill-posed generalized moment problem
• On Iteration Procedures for Equations of the First Kind, Ax = y, and Picard's Criterion for the Existence of a Solution

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