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4.—Perturbations of Non-linear Integral Operators

Published online by Cambridge University Press:  14 February 2012

Friedrich Stummel
Friedrich Stummel
Affiliation:
Department of Mathematics, Johann Wolfgang Goethe- Universität, Frankfurt am Main.
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Synopsis

Non-linear integral operators are studied under perturbations of the integrals, the domains of integration, the kernels and the inhomogeneous terms. The main theorem establishes the local solubility of the perturbed integral equations, the biconvergence of their solutions and associated two-sided error estimates. This theorem is of interest even for the special class of linear Fredholm integral equations.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 74 , 1976 , pp. 55 - 70
Copyright
Copyright © Royal Society of Edinburgh 1976

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