An inequality for positive definite Volterra kernels

Author:
Olof J. Staffans

Journal:
Proc. Amer. Math. Soc. **58** (1976), 205-210

MSC:
Primary 45M05; Secondary 45D05

DOI:
https://doi.org/10.1090/S0002-9939-1976-0500049-0

MathSciNet review:
0500049

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Abstract | References | Similar Articles | Additional Information

Abstract: We deduce an inequality satisfied by certain positive definite Volterra kernels. This inequality yields a new theorem on the asymptotic behavior of the bounded solutions of a Volterra equation.

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DOI:
https://doi.org/10.1090/S0002-9939-1976-0500049-0

Article copyright:
© Copyright 1976
American Mathematical Society