Das Wachstum ganzer Lösungen gewisser linearer Funktional-Differentialgleichungen.
Dégénérescence des systèmes discrets et application à un problème de commande
Delay Model of Hematopoietic Stem Cell Dynamics: Asymptotic Stability and Stability Switch
A nonlinear system of two delay differential equations is proposed to model hematopoietic stem cell dynamics. Each equation describes the evolution of a sub-population, either proliferating or nonproliferating. The nonlinearity accounting for introduction of nonproliferating cells in the proliferating phase is assumed to depend upon the total number of cells. Existence and stability of steady states are investigated. A Lyapunov functional is built to obtain the global asymptotic stability of the...
Distributional and entire solutions of linear functional differential equations.
Distributional and entire solutions of ordinary differential and functional differential equations.