Time asymptotic behaviour for unbounded linear operators arising in growing cell populations.

DOI10.1016/S1468-1218(02)00069-XzbMath1039.92033OpenAlexW2025850480MaRDI QIDQ1412216

Aref Jeribi

Publication date: 10 November 2003

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1468-1218(02)00069-x

zbMATH Keywords

weak compactnesssmooth transition operators

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Spectrum, resolvent (47A10) Cell biology (92C37) Applications of operator theory in chemistry and life sciences (47N60) Integro-differential operators (47G20) (C)-semigroups, regularized semigroups (47D60)

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Cites Work

• Positive one-parameter semigroups on ordered Banach spaces
• Solution of the linearized Boltzmann transport equation for the slab geometry
• One-parameter semigroups of positive operators
• Boundary value problems in abstract kinetic theory
• A Fokker-Planck equation for growing cell populations
• Compact operators in Banach lattices
• Spectral methods in linear transport theory
• A theory for the age and generation time distribution of a microbial population
• On an unbounded linear operator arising in the theory of growing cell population
• Existence and uniqueness of nonnegative eigenfunctions of the Boltzmann operator
• Spectral analysis of collectively compact, strongly convergent operator sequences
• Effective solution to the initial value problem in neutron thermalization theory
• Un modèle de Rotenberg avec la loi à mémoire parfaite
• Resolvent Positive Operators
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item