Note on a family of Volterra equations
Author:
Kenneth B. Hannsgen
Journal:
Proc. Amer. Math. Soc. 46 (1974), 239-243
MSC:
Primary 45D05
DOI:
https://doi.org/10.1090/S0002-9939-1974-0350338-6
MathSciNet review:
0350338
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Abstract | References | Similar Articles | Additional Information
Abstract: We prove that the solutions of a certain family of Volterra integrodifferential equations are uniformly bounded. We use this result to determine the asymptotic behavior of the solution of a Volterra equation in Hilbert space.
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1974-0350338-6
Keywords:
Asymptotic behavior,
convex,
Hilbert space,
integro-differential equations,
selfadjoint linear operator,
viscoelasticity,
Volterra equations
Article copyright:
© Copyright 1974
American Mathematical Society
