Dynamical studies of equations from the Gambier family.
Eine Anwendung diophantischer Approximationen auf die Theorie von Differentialgleichungen.
Energy Analysis Of A Nonliner Singular Differential Equations And Applications.
Epidemiological Models and Lyapunov Functions
We give a survey of results on global stability for deterministic compartmental epidemiological models. Using Lyapunov techniques we revisit a classical result, and give a simple proof. By the same methods we also give a new result on differential susceptibility and infectivity models with mass action and an arbitrary number of compartments. These models encompass the so-called differential infectivity and staged progression models. In the two cases we prove that if the basic reproduction ratio...
Équations différentielles ordinaires et équations de transport avec des coefficients irréguliers
Equilibria of Runge-Kutta methods.
Equivalence and symmetries of first order differential equations
In this article, the equivalence and symmetries of underdetermined differential equations and differential equations with deviations of the first order are considered with respect to the pseudogroup of transformations
Equivalence of ill-posed dynamical systems
The problem of topological classification is fundamental in the study of dynamical systems. However, when we consider systems without well-posedness, it is unclear how to generalize the notion of equivalence. For example, when a system has trajectories distinguished only by parametrization, we cannot apply the usual definition of equivalence based on the phase space, which presupposes the uniqueness of trajectories. In this study, we formulate a notion of “topological equivalence” using the axiomatic...
Erratum: On the convergence of multistep methods for nonlinear stiff differential equations.
Erweiterung des -Stabilitätsbegriffes auf die Klasse der linearen Mehrschrittblockverfahren.
In der vorliegenden Arbeit wird der -Stabilitätsbegriff von Dahlquist, der die Grundlage für Stabilitätsuntersuchungen bei linearen Mehrschrittverfahren zur Lösung nichtlinearet Anfangswertaufgaben bildet, auf die Klasse der linearen Mehrschrittblockverfahren übertragen. Es wird nachgewiesen, das Blockverfahren, die in diesem Sinne stabil sind, höchstens die Konsistenzordnung 2 haben können.
Estimates on the eigenvalues for some nonlinear ordinary differential operators
Estimation of channel holding time distribution in cellular telephone systems.
Estimation of longest stability interval for a kind of explicit linear multistep methods.
Étude numérique des solutions périodiques d'une équation du second ordre
Evaluating matrix functions for exponential integrators via Carathéodory-Fejér approximation and contour integrals.
Everted equilibria of a spherical cap : a singular perturbation method
Exact solutions for certain nonlinear autonomous ordinary differential equations of the second order and families of two-dimensional autonomous systems.
Exact solutions of generalized Lane-Emden equations of the second kind
Contact and Lie point symmetries of a certain class of second order differential equations using the Lie symmetry theory are obtained. Generators of these symmetries are used to obtain first integrals and exact solutions of the equations. This class of equations is transformed into the so-called generalized Lane-Emden equations of the second kind Then we consider two types of functions and present first integrals and exact solutions of the Lane-Emden equation for them. One of the considered...
Existence and nonexistence of entire solutions to the logistic differential equation.
Existence and uniqueness of a classical solution to a functional-differential abstract nonlocal Cauchy problem.