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Some Theorems on a Volterra Equation of the Second Kind

Published online by Cambridge University Press:  20 November 2018

D. E. Thompson
D. E. Thompson*
Affiliation:
University of British Columbia, Vancouver, British Columbia
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In this paper we state and prove three theorems on positive solutions of a Volterra equation of the second kind. The equation considered is

1

where K(x, t) is a Volterra type kernel, that is, K(x, t) = 0 for t > x.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 14 , Issue 4 , December 1971 , pp. 585 - 589
Copyright
Copyright © Canadian Mathematical Society 1971

References

1. Beesack, P. R., Comparison theorems and inequalities for Volterra integral equations, Proc. Amer. Math. Soc. 20 (1969), 61-66.Google Scholar
2. Tricomi, F. G., Integral equations, Interscience, New York, 1957.Google Scholar