Publication result detail

Asymptotic unboundedness of the norms of delayed matrix sine and cosine

SVOBODA, Z.

Original Title

Asymptotic unboundedness of the norms of delayed matrix sine and cosine

English Title

Asymptotic unboundedness of the norms of delayed matrix sine and cosine

Type

WoS Article

Original Abstract

The asymptotic properties of recently defined special matrix functions called delayed matrix sine and delayed matrix cosine are studied. The asymptotic unboundedness of their norms is proved. To derive this result, a formula is used connecting them with what is called delayed matrix exponential with asymptotic properties determined by the main branch of the Lambert function.

English abstract

The asymptotic properties of recently defined special matrix functions called delayed matrix sine and delayed matrix cosine are studied. The asymptotic unboundedness of their norms is proved. To derive this result, a formula is used connecting them with what is called delayed matrix exponential with asymptotic properties determined by the main branch of the Lambert function.

Keywords

FUNCTIONAL-DIFFERENTIAL EQUATIONS; PAIRWISE PERMUTABLE MATRICES; LINEAR PARTS; REPRESENTATION; SYSTEMS

Key words in English

FUNCTIONAL-DIFFERENTIAL EQUATIONS; PAIRWISE PERMUTABLE MATRICES; LINEAR PARTS; REPRESENTATION; SYSTEMS

Authors

SVOBODA, Z.

RIV year

2018

Released

01.12.2017

Publisher

UNIV SZEGED, BOLYAI INSTITUTE, ARADI VERTANUK TERE 1, 6720 SZEGED, HUNGARY

Location

SZEGED, HUNGARY

ISBN

1417-3875

Periodical

Electronic Journal of Qualitative Theory of Differential Equations

Number

89

State

Hungary

Pages from

1

Pages to

15

Pages count

15

BibTex

@article{BUT143605,
  author="Zdeněk {Svoboda}",
  title="Asymptotic unboundedness of the norms of delayed matrix sine and cosine",
  journal="Electronic Journal of Qualitative Theory of Differential Equations",
  year="2017",
  number="89",
  pages="1--15",
  doi="10.14232/ejqtde.2017.1.89",
  issn="1417-3875"
}