A Generalization of the Notion of Reproductivity
Publications de l'Institut Mathématique, _N_S_67 (2000) no. 81, p. 76
Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
In Section 1 we state the known theory of reproductive
equations in general. The key result is that every equation, having at
least one solution, is equivalent to some reproductive equation. In
Section 2 we extend the notion of reproductive equations to the class
of equations $Eq(x)$ which are solved by means of some given equation,
denoted by $Eq_1(\varrho)$. In that case we also prove that such an
$Eq(x)$, having at least one solution, is equivalent to some
reproductive equation.
@article{PIM_2000_N_S_67_81_a6,
author = {Slavi\v{s}a B. Pre\v{s}i\'c},
title = {A {Generalization} of the {Notion} of {Reproductivity}},
journal = {Publications de l'Institut Math\'ematique},
pages = {76 },
year = {2000},
volume = {_N_S_67},
number = {81},
zbl = {1011.39021},
language = {en},
url = {http://geodesic.mathdoc.fr/item/PIM_2000_N_S_67_81_a6/}
}
Slaviša B. Prešić. A Generalization of the Notion of Reproductivity. Publications de l'Institut Mathématique, _N_S_67 (2000) no. 81, p. 76 . http://geodesic.mathdoc.fr/item/PIM_2000_N_S_67_81_a6/