Publication detail

On global transformations of ordinary differential equations of the second order

TRYHUK, V.

Original Title

On global transformations of ordinary differential equations of the second order

Type

journal article - other

Language

English

Original Abstract

The paper describes the general form of an ordinary differential equation of the second order which allows a nontrivial global transformation consisting of the change of the independent variable. A result given by J. Aczél is generalized. A functional equation of the form f(t,vy,wy+uvz)=f(x,y,z)u^2v+g(t,x,u,v,w)vz+h(t,x,u,v,w)y+2uwz is solved on R for nonzero y and v..

Keywords

ordinary differential equations, linear differential equations, transformations, functional equations, global transformations

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

499

Pages to

508

Pages count

10

BibTex

@article{BUT39560,
  author="Václav {Tryhuk}",
  title="On global transformations of ordinary differential equations of the second order",
  journal="Czechoslovak Mathematical Journal",
  year="2000",
  volume="50",
  number="125",
  pages="499--508",
  issn="0011-4642"
}