Publication detail

Representation of solutions of neutral differential equations with delay and with linear parts defined by pairwise permutable matrices

POSPÍŠILOVÁ ŠKRIPKOVÁ, L. POSPÍŠIL, M.

Original Title

Representation of solutions of neutral differential equations with delay and with linear parts defined by pairwise permutable matrices

Type

journal article in Web of Science

Language

English

Original Abstract

This paper is devoted to the study of linear systems of neutral differential equations with delay. Assuming the linear parts to be given by pairwise permutable matrices, representation of a solution of a nonhomogeneous initial value problem using matrix polynomial of a degree depending on time is derived. Examples illustrating the obtained results are given.

Keywords

neutral differential equations; delayed equation; matrix polynomial

Authors

POSPÍŠILOVÁ ŠKRIPKOVÁ, L.; POSPÍŠIL, M.

Released

1. 1. 2015

Publisher

University of Miskolc

Location

HUNGAR, UNIV MISKOLC INST MATH, MISKOLC-EGYETEMVAROS, MISKOLC, H-3515

ISBN

1787-2405

Periodical

Miskolc Mathematical Notes

Year of study

16

Number

1

State

Hungary

Pages from

423

Pages to

438

Pages count

16

URL

http://mat76.mat.uni-miskolc.hu/mnotes/

BibTex

@article{BUT164372,
  author="Lucia {Pospíšilová Škripková} and Michal {Pospíšil}",
  title="Representation of solutions of neutral differential equations with delay and with linear parts defined by pairwise permutable matrices",
  journal="Miskolc Mathematical Notes",
  year="2015",
  volume="16",
  number="1",
  pages="423--438",
  issn="1787-2405",
  url="http://mat76.mat.uni-miskolc.hu/mnotes/"
}