Delay differential systems with discontinuous initial data and existence and uniqueness theorems for systems with impulse and delay.
Delay makes problems in population modelling
Differentiable semiflows for differential equations with state-dependent delays.
Discontinuous solutions of neutral functional differential equations.
The fundamental theory of existence, uniqueness and continuous differentiability of Lp-solutions for Neutral Functional Differential Equations is presented. Also, the spectrum of the solution operator of general autonomous linear NFDEs is described. Finally, an extension of Hartman Grobman Theorem on local conjugacy near a hyperbolic equilibrium is proved.
Ecuaciones de evolución con retardo variable.
Este trabajo tiene como objeto presentar resultados de existencia global de soluciones para ciertas ecuaciones diferenciales funcionales asociadas a procesos con retardo variable. El principal argumento será la aplicación de ciertas estimaciones puntuales sobre las soluciones de una ecuación diferencial escalar.
Effective criterion for the transformation of linear functional-differential equations of first order into canonical form with constant coefficients and deviations
Ein Eindeutigkeitssatz bei Funktional-Differentialgleichungen mit unendlicher Nacheilung.
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 Functional-Differential Equations of Neutral Type and Abstract Cauchy Problems.
Euler-Verfahren für neutrale Funktional-Differentialgleichungen.
Existence and continuability of solutions of an initial value problem for a system of singular functional differential equations.
Existence and continuous dependence for a class of neutral functional differential equations
A general result on existence and continuous dependence of the solution for a quite wide class of N.F.D.E. is given. Further, an abstract equivalence is proved for three different formulations of N.F.D.E.
Existence and density results for retarded subdifferential evolution inclusions
In this paper we study Cauchy problems for retarded evolution inclusions, where the Fréchet subdifferential of a function F:Ω→R∪{+∞} (Ω is an open subset of a real separable Hilbert space) having a φ-monotone subdifferential of oder two is present. First we establish the existence of extremal trajectories and we show that the set of these trajectories is dense in the solution set of the original convex problem for the norm topology of the Banach space C([-r, T₀], Ω) ("strong relaxation theorem")....
Existence and uniqueness theorems on certain difference-differential equations.
Existence of asymptotic solutions of second order neutral differential equation with multiple delays.
Existence of extremal solutions and comparison results for delay differential equations in abstract cones
Existence of solution for a mixed neutral system.
Existence of solutions for nonconvex functional differential inclusions.
Existence of solutions of functional differential inclusions.
Existence of solutions of functional-differential equations