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"
}