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Weakly continuous accretive operators in general Banach spaces
Published online by Cambridge University Press: 17 April 2009
Abstract
Global wellposedness theorems are established for a class of abstract Cauchy initial value problems and a class of abstract Volterra equations which have a linear semigroup as a convolution kernel. These existence theorems are used to show that a class of nonlinear operators and a class of perturbed linear operators are m-accretive. The m-accretiveness results are used in turn to represent solutions to the differential and integral equations.
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- Copyright © Australian Mathematical Society 1990