Publication 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

journal article - other

Language

en

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.

RIV year

2005

Released

04.01.2005

Publisher

Birkhauser Verlag, Basel

Pages from

77

Pages to

87

Pages count

11

URL

u autora

BibTex


@article{BUT45503,
  author="František {Neuman}",
  title="Constructing and solving equations - inverse operations",
  annote="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.  

",
  address="Birkhauser Verlag, Basel",
  chapter="45503",
  institution="Birkhauser Verlag, Basel",
  journal="AEQUATIONES MATHEMATICAE",
  number="70",
  volume="2005",
  year="2005",
  month="january",
  pages="77",
  publisher="Birkhauser Verlag, Basel",
  type="journal article - other"
}