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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

A product integral solution of a Stieltjes-Volterra integral equation.


Author: James A. Reneke
Journal: Proc. Amer. Math. Soc. 24 (1970), 621-626
MSC: Primary 45.30; Secondary 34.00
DOI: https://doi.org/10.1090/S0002-9939-1970-0252999-5
MathSciNet review: 0252999
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Abstract: This paper demonstrates that the theory of Stieltjes-Volterra integral equations may be subsumed in Mac Nerney's general integral equation theory by making suitable choices of linear spaces and sets of operators.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1970-0252999-5
Keywords: Product integral, Stieltjes-Volterra integral equations, left integral, right integral, order additive functions, order multiplicative functions
Article copyright: © Copyright 1970 American Mathematical Society