Coupled pairs of dual integral equations with trigonometric kernels

Authors:
R. Khadem and L. M. Keer

Journal:
Quart. Appl. Math. **31** (1974), 467-480

MSC:
Primary 45F10

DOI:
https://doi.org/10.1090/qam/448002

MathSciNet review:
448002

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Abstract: The solution is given to a system of two pairs of dual integral equations with constant coefficients involving trigonometric kernels. The method is analogous to that applied to Bessel function kernels and involves reduction to a single Wiener--Hopf equation for which a solution is available. The example of an indenter moving with friction present is worked out by this method and also by means of equivalent reduction of the system of equations to a singular integral equation.

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DOI:
https://doi.org/10.1090/qam/448002

Article copyright:
© Copyright 1974
American Mathematical Society