The conversion of Fredholm integral equations to equivalent Cauchy problems

DOI10.1016/0096-3003(76)90016-3zbMath0399.45001OpenAlexW2044408300MaRDI QIDQ1254691

Michael A. Golberg

Publication date: 1976

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

Full work available at URL: https://doi.org/10.1016/0096-3003(76)90016-3

zbMATH Keywords

Two Point Boundary Value ProblemInitial Value ProblemsFredholm Integral EquationsCauchy ProblemsEquivalent Ordinary Differential EquationsInvariant Imbedding Algorithms

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Fredholm integral equations (45B05)

Related Items

On a method of Bownds for solving Volterra integral equations, Boundary and initial-value methods for solving Fredholm equations with semidegenerate kernels, The conversion of Fredholm integral equations to equivalent Cauchy problems. II: Computation of resolvents, On Solving Weakly Singular Volterra Equations of the First Kind with Galerkin Approximations

Cites Work

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