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A Stieltjes–Volterra Integral Equation Theory

Published online by Cambridge University Press:  20 November 2018

D. B. Hinton
D. B. Hinton*
Affiliation:
The University of Tennessee and The University of Georgia
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Suppose S = [a, b] is a number interval and F is a function from S X S to a normed algebraic ring N with multiplicative identity I. We consider the problem of finding, for appropriate conditions on F, a function M from S X S to N such that for all t and x,

where the integral is a Cauchy-left integral.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 18 , 1966 , pp. 314 - 331
Copyright
Copyright © Canadian Mathematical Society 1966

References

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