Convergence of Perturbations of Integral Equations of the Second Kind

  • H.-J. Reinhardt
Part of the Applied Mathematical Sciences book series (AMS, volume 57)


In Chapter 3, we presented several methods for approximating solutions of linear and nonlinear integral equations of the second kind. The approximation schemes that we considered can be divided into two classes, namely, those where the approximate equations can be also expressed in the form of integral equations with perturbed kernels and perturbed regions of integration, and those which represent projection methods.


Integral Equation Integral Operator Convergence Analysis Uniform Boundedness Nonlinear Integral Equation 
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References (cf. also References in Chapter 3)

  1. Anselone (1965)*, Anselone (1971), Anselone & Moore (1964)*, Anselone & Palmer (1968)*, Atkinson (1967)*, Atkinson (1976), Baker (1977), Brakhage (1960)*, Dieudonné (1969), Ikebe (1972)*, Kantorovich & Akilov (1964), Reinhardt (1975a)*, Sloan (1980a,1981)*, Stummel (1974b,1975)*, Atkinson & Graham amp; Sloan (1983)*.Google Scholar

Copyright information

© Springer Science+Business Media New York 1985

Authors and Affiliations

  • H.-J. Reinhardt
    • 1
  1. 1.Fachbereich MathematikJohann-Wolfgang-Goethe-Universität6000 Frankfurt MainFederal Republic of Germany

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