Publication detail

The solutions of second-order nonhomogenuous linear differential systems with constant delays

SVOBODA, Z. DIBLÍK, J.

Original Title

The solutions of second-order nonhomogenuous linear differential systems with constant delays

English Title

The solutions of second-order nonhomogenuous linear differential systems with constant delays

Type

conference paper

Language

en

Original Abstract

Representations of solutions to initial problems for n-dimensional nonhomogeneous second-order linear differential equations with delays x″(t)-(A + B)x′(t-τ ) + BAx(t-2τ ) = f(t); t ≥ 0; where A and B are n × n matrices, f(t) is continuous n-dimensional vectorfunction and τ > 0, are derived by means of special matrix delayed functions.

English abstract

Representations of solutions to initial problems for n-dimensional nonhomogeneous second-order linear differential equations with delays x″(t)-(A + B)x′(t-τ ) + BAx(t-2τ ) = f(t); t ≥ 0; where A and B are n × n matrices, f(t) is continuous n-dimensional vectorfunction and τ > 0, are derived by means of special matrix delayed functions.

Keywords

Constant delaysDelay; Delayed functions; Initial problem; Linear differential systems; Non-homogeneousSecond order linear differential equation; Special matrices

Released

31.01.2017

Publisher

Slovak University of Technology in Bratislava

Location

Bratislava Slovak republic

ISBN

9788022746502

Book

16th Conference on Applied Mathematics, APLIMAT 2017; Bratislava; Slovakia; 31 January 2017 through 2 February 2017; Code 131656

Pages from

461

Pages to

466

Pages count

5

Documents

BibTex


@inproceedings{BUT143603,
  author="Zdeněk {Svoboda} and Josef {Diblík}",
  title="The solutions of second-order nonhomogenuous linear differential systems with constant delays",
  annote="Representations of solutions to initial problems for n-dimensional nonhomogeneous second-order linear differential equations with delays x″(t)-(A + B)x′(t-τ ) + BAx(t-2τ ) = f(t); t ≥ 0; where A and B are n × n matrices, f(t) is continuous n-dimensional vectorfunction and τ > 0, are derived by means of special matrix delayed functions.",
  address="Slovak University of Technology in Bratislava",
  booktitle="16th Conference on Applied Mathematics, APLIMAT 2017; Bratislava; Slovakia; 31 January 2017 through 2 February 2017; Code 131656",
  chapter="143603",
  howpublished="electronic, physical medium",
  institution="Slovak University of Technology in Bratislava",
  year="2017",
  month="january",
  pages="461--466",
  publisher="Slovak University of Technology in Bratislava",
  type="conference paper"
}