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Direct methods for the solution of singular integrodifferential equations on the real line. (English. Russian original) Zbl 0672.65111

Differ. Equations 24, No. 8, 945-949 (1988); translation from Differ. Uravn. 24, No. 8, 1438-1443 (1988).
We present a theoretical justification of the moment method for the approximate solution of singular integrodifferential equations on the real line and point out some errors in the literature on direct methods for solving such equations.

MSC:

65R20 Numerical methods for integral equations
45J05 Integro-ordinary differential equations
45E05 Integral equations with kernels of Cauchy type