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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Product integral solutions for hereditary systems


Author: James A. Reneke
Journal: Trans. Amer. Math. Soc. 181 (1973), 483-493
MSC: Primary 45D05
MathSciNet review: 0324340
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Abstract: Hereditary systems which satisfy a Lipschitz condition are solved in terms of product integrals. Realizations of this type of hereditary system are provided from functional differential and integral equations.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1973-0324340-8
PII: S 0002-9947(1973)0324340-8
Keywords: Hereditary system, product integral, functional equation
Article copyright: © Copyright 1973 American Mathematical Society