On an unbounded linear operator arising in the theory of growing cell population

DOI10.1006/jmaa.1997.5460zbMath0896.92023OpenAlexW2047284276MaRDI QIDQ1363561

Mustapha Mokhtar-Kharroubi, Khalid Latrach

Publication date: 1997

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5460

zbMATH Keywords

Sobolev spacesCauchy problemspectral decompositioncell divisionage structured proliferating cell population

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Population dynamics (general) (92D25) Spectrum, resolvent (47A10) Groups and semigroups of linear operators (47D03) Applications of operator theory in chemistry and life sciences (47N60)

Related Items

A nonlinear problem arising in the theory of growing cell populations, On the solutions for a nonlinear boundary value problem modeling a proliferating cell population with inherited cycle length, A nonlinear age-structured model of population dynamics with inherited properties, The asymptotic behavior of an age-cycle structured cell model with delay, A mathematical analysis of a model of structured population. II, Time asymptotic behaviour for unbounded linear operators arising in growing cell populations., Unnamed Item, On The Spectrum of Absorption Operators With Maxwell Boundary Conditions Arising in Population Dynamics and Transport Theory. A Unified Treatment, On solvability of boundary value problems for kinetic operator-differential equations, Existence results for some nonlocal partial integrodifferential equations without compactness or equicontinuity, A mathematical study in the theory of dynamic populations, Nonlinear semigroup approach to age structured proliferating cell population with inherited cycle length, Well-posedness of a nonlinear evolution equation arising in growing cell population, From the Jager and Segel model to kinetic population dynamics nonlinear evolution problems and applications., On the theory of a growing cell population with zero minimum cycle length

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