Eine Bemerkung zur sich selbst begleitenden Differentialgleichung
Einige Eigenschaften der verallgemeinerten Polarfunktion und der Radonschen Funktion
Epidemiological Models With Parametric Heterogeneity : Deterministic Theory for Closed Populations
We present a unified mathematical approach to epidemiological models with parametric heterogeneity, i.e., to the models that describe individuals in the population as having specific parameter (trait) values that vary from one individuals to another. This is a natural framework to model, e.g., heterogeneity in susceptibility or infectivity of individuals. We review, along with the necessary theory, the results obtained using the discussed approach....
Factoring linear differential operators on measure chains.
First phases of the associated equation with parameters for the differential equation
Flatness and Monge parameterization of two-input systems, control-affine with 4 states or general with 3 states
This paper studies Monge parameterization, or differential flatness, of control-affine systems with four states and two controls. Some of them are known to be flat, and this implies admitting a Monge parameterization. Focusing on systems outside this class, we describe the only possible structure of such a parameterization for these systems, and give a lower bound on the order of this parameterization, if it exists. This lower-bound is good enough to recover the known results about “(x,u)-flatness”...
Form of general pointwise transformations of linear differential equations
Generalized Sturm-Liouville equations
Generalized Sturm-Liouville equations. II
Global canonical forms of linear differential equations
Global theory of ordinary linear homogeneous differential equations in the real domain -I.
Global transformations of linear differential equations.
Global transformations of linear differential equations and quadratic functionals. I
Global transformations of linear differential equations and quadratic functionals. II
Groupes d’automorphismes de et équations différentielles
Higher monotonicity properties of -th derivatives of solutions of
Homogenization of codimension 1 actions of near a compact orbit
Let be a -action on an orientable -dimensional manifold. Assume has an isolated compact orbit and let be a small tubular neighborhood of it. By a change of variables, we can write and , where is some interval containing 0.In this work, we show that by a change of variables, outside , we can make invariant by transformations of the type , where and . As a corollary one cas describe completely the dynamics of in .
Hopf-bifurcation in systems with spherical symmetry. I: Invariant tori.
Integral equivalence between a nonlinear system and its nonlinear perturbation
Integral Equivalence of Two Systems of Differential Equations
Si studia l'equivalenza asintotica fra le soluzioni di un sistema lineare e quelle di una perturbazione non lineare. Vengono date condizioni sufficienti per l'esistenza di un omeomorfìsmo fra le soluzioni limitate di tali sistemi.