On the representation of solutions of delayed differential equations via Laplace transform

In this paper, the unilateral Laplace transform is used to derive a closed-form formula for a solution of a system of nonhomogeneous linear differential equations with any finite number of constant delays and linear parts given by pairwise permutable matrices. This unifies the recent results on the...

Teljes leírás

Elmentve itt :
Bibliográfiai részletek
Szerzők: Pospíšil Michal
Jaroš František
Dokumentumtípus: Folyóirat
Megjelent: 2016
Sorozat:Electronic journal of qualitative theory of differential equations
Kulcsszavak:Differenciálegyenlet - késleltetett, Differenciálegyenlet - lineáris
Online Access:http://acta.bibl.u-szeged.hu/55457
Leíró adatok
Tartalmi kivonat:In this paper, the unilateral Laplace transform is used to derive a closed-form formula for a solution of a system of nonhomogeneous linear differential equations with any finite number of constant delays and linear parts given by pairwise permutable matrices. This unifies the recent results on the representation of such solutions.
Terjedelem/Fizikai jellemzők:1-13
ISSN:1417-3875