Note on a family of Volterra equations

Hannsgen, Kenneth B.

doi:10.1090/S0002-9939-1974-0350338-6

Note on a family of Volterra equations
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by Kenneth B. Hannsgen

Proc. Amer. Math. Soc. 46 (1974), 239-243

DOI: https://doi.org/10.1090/S0002-9939-1974-0350338-6

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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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