1974Proceedings of the American Mathematical SocietyOpen access

Note on a Family of Volterra Equations

Kenneth B. Hannsgen

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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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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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Available 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.

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

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