Resolvents and bounds for linear and nonlinear Volterra equations

Levin, J. J.

doi:10.1090/S0002-9947-1977-0433162-2

Resolvents and bounds for linear and nonlinear Volterra equations
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by J. J. Levin PDF

Trans. Amer. Math. Soc. 228 (1977), 207-222 Request permission

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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