Publication result detail

Constructing and solving equations - inverse operations

NEUMAN, F.

Original Title

Constructing and solving equations - inverse operations

English Title

Constructing and solving equations - inverse operations

Type

Peer-reviewed article not indexed in WoS or Scopus

Original Abstract

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.

English abstract

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.

Key words in English

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

Authors

NEUMAN, F.

Released

04.01.2005

Publisher

Birkhauser Verlag, Basel

ISBN

0001-9054

Periodical

Aequationes Mathematicae

Volume

2005

Number

70

State

Swiss Confederation

Pages from

77

Pages count

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"
}