$L^p$-Norm Estimates for Solutions of Non-convolution Volterra Equations  in a Banach Space

Michael Gil

doi:10.14510/lm-ns.v41i1.1468

$L^p$-Norm Estimates for Solutions of Non-convolution Volterra Equations in a Banach Space

Michael Gil

Abstract

The paper deals with a Volterra integral equation in a Banach space. We do not assume that it is a convolution equation. We derive estimates for the Lp-norm of solutions.

Keywords

Banach space; Volterra equation; Solution estimates: Hille-Tamarkin operator

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DOI: http://dx.doi.org/10.14510%2Flm-ns.v41i1.1468

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LIBERTAS MATHEMATICA (new series)

$L^p$-Norm Estimates for Solutions of Non-convolution Volterra Equations in a Banach Space

Abstract

Keywords

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