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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Keywords: Hereditary system, product integral, functional equation
Article copyright: © Copyright 1973 American Mathematical Society