Detail publikačního výsledku

Constructing and solving equations - inverse operations

NEUMAN, F.

Originální název

Constructing and solving equations - inverse operations

Anglický název

Constructing and solving equations - inverse operations

Druh

Článek recenzovaný mimo WoS a Scopus

Originální abstrakt

Two inverse operations are considered in this paper: solving a given equation, i.e. finding its solution space, and constructing an equation from a given set, the elements of which being supposed as its solutions, i.e. finding a suitable representation for a given solution space. These equations and representations need not be unique, they may depend on our requirements, e.g. on smoothness or discreteness. These considerations are explained on differential and functional equations. This paper offers a new interpretation of results taken from the area of difference, differential and functional equations.

Anglický abstrakt

Two inverse operations are considered in this paper: solving a given equation, i.e. finding its solution space, and constructing an equation from a given set, the elements of which being supposed as its solutions, i.e. finding a suitable representation for a given solution space. These equations and representations need not be unique, they may depend on our requirements, e.g. on smoothness or discreteness. These considerations are explained on differential and functional equations. This paper offers a new interpretation of results taken from the area of difference, differential and functional equations.

Klíčová slova v angličtině

Functional and differential equations, representation of solution spaces, discretization of smooth relations, Abel equation, construction of equations

Autoři

NEUMAN, F.

Vydáno

04.01.2005

Nakladatel

Birkhauser Verlag, Basel

ISSN

0001-9054

Periodikum

Aequationes Mathematicae

Svazek

2005

Číslo

70

Stát

Švýcarská konfederace

Strany od

77

Strany počet

11

URL

u autora

BibTex

@article{BUT45503,
  author="František {Neuman}",
  title="Constructing and solving equations - inverse operations",
  journal="Aequationes Mathematicae",
  year="2005",
  volume="2005",
  number="70",
  pages="11",
  issn="0001-9054",
  url="u autora"
}