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On a dual integral equation with a trigonometric kernel

Published online by Cambridge University Press:  18 May 2009

D. C. Stocks
D. C. Stocks
Affiliation:
Royal Military College of Science, Shrivenham
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In this note we formally solve the following dual integral equations:

where h is a constant and the Fourier cosine transform of u–1 φ(u) is assumed to exist. These dual equations arise in a crack problem in elasticity theory.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 18 , Issue 2 , July 1977 , pp. 175 - 177
Copyright
Copyright © Glasgow Mathematical Journal Trust 1977

References

REFERENCES

1.Parihar, K. S., Some triple trigonometrical series equations and their application, Proc. Roy. Soc. Edinburgh Sect. A 69 (1971), 255–265.Google Scholar
2.Sneddon, I. N., Mixed boundary value problems in potential theory (North-Holland, 1966).Google Scholar