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Proceedings of the American Mathematical Society

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A note on Volterra equations in a Hilbert space


Authors: Stig-Olof Londen and Olof J. Staffans
Journal: Proc. Amer. Math. Soc. 70 (1978), 57-62
MSC: Primary 45N05; Secondary 47H15
DOI: https://doi.org/10.1090/S0002-9939-1978-0467219-3
MathSciNet review: 0467219
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Abstract | References | Similar Articles | Additional Information

Abstract: An existence and uniqueness result is given on the nonlinear Volterra equation

$\displaystyle u(t) + (a ^\ast Au)(t) \mathrel\backepsilon f(t),\quad t \in {R^ + },$

when considered in a real Hilbert space. The result extends earlier work by Barbu and Londen.

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1978-0467219-3
Keywords: Volterra equations, integral equations in Hilbert space
Article copyright: © Copyright 1978 American Mathematical Society