Cauchy problems with state-dependent time evolution

DOI10.1007/BF03167853zbMath0711.34005OpenAlexW2111909924MaRDI QIDQ3496509

Annette Grabosch, Henk J. A. M. Heijmans

Publication date: 1990

Published in: Japan Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03167853

zbMATH Keywords

global solutionvariation-of-constants formulastructured cell populationquasilinear Cauchy problemsstate-dependent time evolution

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Population dynamics (general) (92D25)

Related Items (8)

On the net reproduction rate of continuous structured populations with distributed states at birth ⋮ A general structured model for a sequential hermaphrodite population ⋮ Age-structured and two-delay models for erythropoiesis ⋮ On the formulation of size-structured consumer resource models (with special attention for the principle of linearized stability) ⋮ Stability and instability of equilibria of an equation of size structured population dynamics ⋮ Qualitative analysis and simulation of a nonlinear integro-differential system modeling tumor-immune cells competition ⋮ Exponential stability of the stationary distribution of a mean field of spiking neural network ⋮ Structured populations with distributed recruitment: from PDE to delay formulation

Cites Work

• Unnamed Item
• Unnamed Item
• Growth, fission and the stable size distribution
• On the stability of the cell size distribution
• Semigroups of linear operators and applications to partial differential equations
• On the stable size distribution of populations reproducing by fission into two unequal parts
• Perturbation theory for dual semigroups. I. The sun-reflexive case
• Ordinary differential equations in Banach spaces
• A Nonlinear Model of Population Dynamics Containing an Arbitrary Number of Continuous Structure Variables
• Shorter Notes: Strongly Continuous Semigroups, Weak Solutions, and the Variation of Constants Formula

This page was built for publication: Cauchy problems with state-dependent time evolution