A Tauberian problem for a Volterra integral operator
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- by Gustaf Gripenberg PDF
- Proc. Amer. Math. Soc. 82 (1981), 576-582 Request permission
Abstract:
The following question is studied: For which (nonintegrable) kernels $A$ does ${\lim _{t \to \infty }}\int _0^tA(t - s)x(s)ds = 0$ imply that ${\lim _{t \to \infty }}x(t) = 0$ when $x$ is bounded and satisfies a Tauberian condition.References
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Additional Information
- © Copyright 1981 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 82 (1981), 576-582
- MSC: Primary 45D05; Secondary 40E05
- DOI: https://doi.org/10.1090/S0002-9939-1981-0614881-8
- MathSciNet review: 614881