Publication detail

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

DIBLÍK, J. SVOBODA, Z.

Original Title

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

English Title

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

Type

conference paper

Language

en

Original Abstract

The representations of solutions to initial problems for non-homogenous n-dimensional second-order differential equations with delays by means of special matrix delayed functions are derived. Derived representations use what is called a delayed exponential of a matrix and results generalize some of known results previously derived for homogenous systems.

English abstract

The representations of solutions to initial problems for non-homogenous n-dimensional second-order differential equations with delays by means of special matrix delayed functions are derived. Derived representations use what is called a delayed exponential of a matrix and results generalize some of known results previously derived for homogenous systems.

Keywords

reprezentation of solution; delay; delayed matrix exponential

Released

21.07.2017

Publisher

American Institute of Physics

Location

Rhodos

ISBN

978-0-7354-1538-6

Book

INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2016)

Pages from

480006-1

Pages to

480006-4

Pages count

4

URL

http://dx.doi.org/10.1063/1.4992642

Documents

BibTex 


@inproceedings{BUT138088,
  author="Josef {Diblík} and Zdeněk {Svoboda}",
  title="The solutions of second-order linear differential systems with constant delays",
  annote="The representations of solutions to initial problems for non-homogenous n-dimensional second-order differential equations with delays by means of special matrix delayed functions are derived.  Derived representations use what is called a delayed exponential of a matrix and results generalize some of known results previously derived for
homogenous systems.",
  address="American Institute of Physics",
  booktitle="INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2016)",
  chapter="138088",
  doi="10.1063/1.4992642",
  howpublished="online",
  institution="American Institute of Physics",
  year="2017",
  month="july",
  pages="480006-1--480006-4",
  publisher="American Institute of Physics",
  type="conference paper"
}