Publication detail

On global transformations of ordinary functional-differential equations of the first order

TRYHUK, V.

Original Title

On global transformations of ordinary functional-differential equations of the first order

Type

journal article - other

Language

English

Original Abstract

The paper describes the general form of functional-differential equations of the first order with m (m>=1) delays which allows nontrivial global transformations consisting of a change of the independent variable and of a nonvanishing factor. A functional equation $f(t,uv,u_1v_1,...,u_mv_m)=f(x,v,v_1,...,v_m)g(t,x,u,u_1,...u_m)u+h(t,x,u,u_1,...u_m)v$ for $u\neq 0$ is solved on R and a method of proof by J. Aczél is applied.

Key words in English

functional differential equations, ordinary differential equations, global transformations, functional equations in a single variable, functional equations in several variables

Authors

TRYHUK, V.

RIV year

2000

Released

1. 1. 2000

Publisher

ČSAV

Location

Praha

ISBN

0011-4642

Periodical

Czechoslovak Mathematical Journal

Year of study

50

Number

125

State

Czech Republic

Pages from

279

Pages to

293

Pages count

15

BibTex

@article{BUT39559,
  author="Václav {Tryhuk}",
  title="On global transformations of ordinary functional-differential equations of the first order",
  journal="Czechoslovak Mathematical Journal",
  year="2000",
  volume="50",
  number="125",
  pages="279--293",
  issn="0011-4642"
}