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On a class of integro-differential equations

Published online by Cambridge University Press:  24 October 2008

H. R. Pitt
H. R. Pitt
Affiliation:
King's CollegeAberdeen
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Extract

We are concerned in this paper with linear integro-differential equations of the form*

and

where kr(y) are given functions with bounded variation in any finite interval, g(x) is known, and f(x) is to be determined.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 40 , Issue 3 , November 1944 , pp. 199 - 211
Copyright
Copyright © Cambridge Philosophical Society 1944

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References

REFERENCES

(1)Besicovitch, A. S.Almost periodic functions (Cambridge, 1932).Google Scholar
(2)Bochner, S.Vorlesungen über Fouriersche Integrate (Leipzig, 1932).Google Scholar
(3)Hardy, G. H., Littlewood, J. E. and Polya, G.Inequalities (Cambridge, 1934).Google Scholar
(4)Hobson, E. W.The theory of functions of a real variable, 1 (Cambridge, 1927).Google Scholar
(5)Zygmund, A.Trigonometrical series (Warsaw, 1935).Google Scholar