Resolvents and bounds for linear and nonlinear Volterra equations

Author:
J. J. Levin

Journal:
Trans. Amer. Math. Soc. **228** (1977), 207-222

MSC:
Primary 45D05

DOI:
https://doi.org/10.1090/S0002-9947-1977-0433162-2

MathSciNet review:
0433162

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Abstract: The asymptotic behavior of the resolvent of a linear Volterra equation is investigated without the assumption that the kernel of the equation is in . A lower bound is obtained on the solutions of a related nonlinear Volterra equation. A special case of the latter result is employed in the proof of the former result.

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DOI:
https://doi.org/10.1090/S0002-9947-1977-0433162-2

Article copyright:
© Copyright 1977
American Mathematical Society