Transformation semigroups and \(L^ 1\)-approximation for size structured population models

DOI10.1007/BF02573227zbMath0687.47033OpenAlexW2038349930MaRDI QIDQ1263069

Franz Kappel, Harvey Thomas Banks

Publication date: 1989

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/134950

zbMATH Keywords

generalized solutionmethod of characteristicsfirst-order partial differential equationabstract first-order evolution equationevolution in time of a populationfinite-dimensional approximation schemesgenerator of a \(C_ 0\) semigroupintegral representation of a differentiable solution

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Population dynamics (general) (92D25) Integral representations of solutions to PDEs (35C15) Groups and semigroups of linear operators (47D03) General theory of partial differential operators (47F05)

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Cites Work

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• Semigroups of linear operators and applications to partial differential equations
• Spline Approximation for Retarded Systems and the Riccati Equation
• Hereditary Control Problems: Numerical Methods Based on Averaging Approximations

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