Generalized functional-differential equations of neutral type
Generalized solutions of functional differential inclusions.
Gleichmäßig asymptotische Stabilität stationäre Punkte bei Differential-Differenzengleichungen.
Global dynamics of a delay differential system of a two-patch SIS-model with transport-related infections
We describe the global dynamics of a disease transmission model between two regions which are connected via bidirectional or unidirectional transportation, where infection occurs during the travel as well as within the regions. We define the regional reproduction numbers and the basic reproduction number by constructing a next generation matrix. If the two regions are connected via bidirectional transportation, the basic reproduction number characterizes the existence of equilibria as well as...
Global error estimation in the numerical solution of retarded differential equations by Euler's method
In this paper Zadunaisky's technique is used to estimate the global error propagated in the numerical solution of the system of retarded differential equations by Euler's method. Some numerical examples are given.
Global existence and controllability to a stochastic integro-differential equation.
Global existence and stability of some semilinear problems
We prove global existence and stability results for a semilinear parabolic equation, a semilinear functional equation and a semilinear integral equation using an inequality which may be viewed as a nonlinear singular version of the well known Gronwall and Bihari inequalities.
Global existence of solutions of certain functional-differential equations
Global Solutions of Ordinary Differential Equations with Lag.
Global transformations of linear differential equations.