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Ecuaciones de evolución con retardo variable.

J. M. Fraile Peláez (1979)

Collectanea Mathematica

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.

Editorial

Jana Kopfová, Petra Nábělková, Dmitrii Rachinskii (2023)

Applications of Mathematics

Efficient computation of delay differential equations with highly oscillatory terms

Marissa Condon, Alfredo Deaño, Arieh Iserles, Karolina Kropielnicka (2012)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

This paper is concerned with the asymptotic expansion and numerical solution of systems of linear delay differential equations with highly oscillatory forcing terms. The computation of such problems using standard numerical methods is exceedingly slow and inefficient, indeed standard software is practically useless for this purpose. We propose an alternative, consisting of an asymptotic expansion of the solution, where each term can be derived either by recursion or by solving a non-oscillatory...

Efficient computation of delay differential equations with highly oscillatory terms

Marissa Condon, Alfredo Deaño, Arieh Iserles, Karolina Kropielnicka (2012)

ESAIM: Mathematical Modelling and Numerical Analysis

This paper is concerned with the asymptotic expansion and numerical solution of systems of linear delay differential equations with highly oscillatory forcing terms. The computation of such problems using standard numerical methods is exceedingly slow and inefficient, indeed standard software is practically useless for this purpose. We propose an alternative, consisting of an asymptotic expansion of the solution, where each term can be derived either by recursion or by solving a non-oscillatory...

Efficient computation of delay differential equations with highly oscillatory terms

Marissa Condon, Alfredo Deaño, Arieh Iserles, Karolina Kropielnicka (2012)

ESAIM: Mathematical Modelling and Numerical Analysis

This paper is concerned with the asymptotic expansion and numerical solution of systems of linear delay differential equations with highly oscillatory forcing terms. The computation of such problems using standard numerical methods is exceedingly slow and inefficient, indeed standard software is practically useless for this purpose. We propose an alternative, consisting of an asymptotic expansion of the solution, where each term can be derived either by recursion or by solving a non-oscillatory...

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