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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

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 $ {L^1}(0,\infty )$. 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