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Dual integral equations with a trigonometric Kernel*

Published online by Cambridge University Press:  20 January 2009

Brij M. Singh  and
Ranjit S. Dhaliwal
Brij M. Singh
Affiliation:
Department of Mathematics, The University of Calgary, Calgary, Alberta, CanadaT2N 1N4
Ranjit S. Dhaliwal
Affiliation:
Department of Mathematics, The University of Calgary, Calgary, Alberta, CanadaT2N 1N4
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In this paper, we solve the following dual integral equations

where δ is a real positive constant and f(x) is a continuous and integrable function of x in [0, a]. The dual integral equations (1) and (2) arise in a crack problem of elasticity.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 22 , Issue 3 , October 1979 , pp. 213 - 215
Copyright
Copyright © Edinburgh Mathematical Society 1979

References

REFERENCES

(1) Cooke, J. C., The solution of some integral equations and their connection with dual integral equations and series, Glasgow Math. J. 11 (1970), 9–20.CrossRefGoogle Scholar
(2) Homentcovschi, D., On the integral equation, Glasgow Math. J. 15 (1974), 95–98.CrossRefGoogle Scholar
(3) Sneddon, I. N., Mixed Boundary Value Problems in Potential Theory, (North-Holland, 1966).Google Scholar