Convergence of Perturbations of Integral Equations of the Second Kind
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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.
KeywordsIntegral Equation Integral Operator Convergence Analysis Uniform Boundedness Nonlinear Integral Equation
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References (cf. also References in Chapter 3)
- 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