Kenneth B. Hannsgen
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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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.
Key concepts: Volterra equations, Volterra integral equation, Bounded function, Mathematics, Hilbert space, Mathematical analysis, Space (punctuation), Applied mathematics