Publication result detail

Effective criterion for transformation of linear functional-differential equations of the first order into canonical forms with constant coefficients and deviations

TRYHUK, V.

Original Title

Effective criterion for transformation of linear functional-differential equations of the first order into canonical forms with constant coefficients and deviations

English Title

Effective criterion for transformation of linear functional-differential equations of the first order into canonical forms with constant coefficients and deviations

Type

Peer-reviewed article not indexed in WoS or Scopus

Original Abstract

Effective sufficient and necessary conditions are given that the equation y'(x)+p_0(x)y(x)+p_1(x)y(\xi_1(x))+...p_m(x)y(\xi_m(x))=0 be globally tranformable into an equation of form z'(t)+q_0 z(t)+q_1z(t-r_1)+...q_m z(t-r_m)=0 on the whole interval of definition.

English abstract

Effective sufficient and necessary conditions are given that the equation y'(x)+p_0(x)y(x)+p_1(x)y(\xi_1(x))+...p_m(x)y(\xi_m(x))=0 be globally tranformable into an equation of form z'(t)+q_0 z(t)+q_1z(t-r_1)+...q_m z(t-r_m)=0 on the whole interval of definition.

Key words in English

deviating argument, pointwise transformation, canonical forms

Authors

TRYHUK, V.

Released

01.01.1997

Publisher

SAV

Location

Bratislava

ISBN

0139-9918

Periodical

Mathematica Slovaca

Volume

47

Number

1997

State

Slovak Republic

Pages from

429

Pages to

438

Pages count

10

BibTex

@article{BUT38392,
  author="Václav {Tryhuk}",
  title="Effective criterion for transformation of linear functional-differential equations of the first order into canonical forms with constant coefficients and deviations",
  journal="Mathematica Slovaca",
  year="1997",
  volume="47",
  number="1997",
  pages="429--438",
  issn="0139-9918"
}