Detail publikace

Remark to transformations of functional-differential equations of the first order

TRYHUK, V.

Originální název

Remark to transformations of functional-differential equations of the first order

Typ

článek v časopise - ostatní, Jost

Jazyk

angličtina

Originální abstrakt

Effective sufficient and necessary conditions are given that the functional-differential equation $y'(x)=\sum_{i=0}^n a_i(x)b_i(y(x))\Pi_{j=1}^m \delta_{ij}y(\xi_j(x))+q(x)y(x), x\in I\subseteq R,$ with $m (m\geq 1)$ delays be globally transformable into an equation of the form $u'(t)=\sum_{i=0}^n a_ib_i(u(s))\Pi_{j=1}^m \delta_{ij}u(s+c_j)+qu(s), s\in R,$ with constant coefficients and deviations. Here $b_i, \delta_{ij}$ are nontrivial solutions, in the class of functions continuous at a point, of Cauchy's functional equation $b(uv)=b(u)b(v) (u,v\in R-\{\0}).$

Klíčová slova v angličtině

functional differential equations, pointwise transformation, functional equation

Autoři

TRYHUK, V.

Vydáno

1. 1. 1999

Nakladatel

SAV

Místo

Bratislava

ISSN

0139-9918

Periodikum

Mathematica Slovaca

Ročník

49

Číslo

4

Stát

Slovenská republika

Strany od

481

Strany do

494

Strany počet

13

BibTex

@article{BUT40882,
  author="Václav {Tryhuk}",
  title="Remark to transformations of functional-differential equations of the first order",
  journal="Mathematica Slovaca",
  year="1999",
  volume="49",
  number="4",
  pages="481--494",
  issn="0139-9918"
}