Publication detail

Perturbation of discrete quadratic functionals

RŮŽIČKOVÁ, V.

Czech title

Perturbace diskrétních kvadratických funkcionálů

English title

Perturbation of discrete quadratic functionals

Type

journal article - other

Language

en

Original abstract

In this paper we show that the nonnegativity of a discrete quadratic functional F(x,u), associated with discrete symplectic systems, with zero, separated, and general endpoints, respectively, on admissible pairs (x,u) with corresponding boundary conditions is equivalent to the nonnegativity of certain perturbed functionals. Similar results hold also in case of the positivity.

Czech abstract

V tomto článku ukážeme, že nezápornost diskrétního kvadratického funkcionálu F(x,u), přidruženého k diskrétnímu symplektickému systému, s nulovými, separovanými a obecnými konci, na přípustných dvojicích (x,u) s odpovídajícími koncovými podmínkami je ekvivalentní s nezáporností jistých perturbovaných funkcionálů. Podobné výsledky platí i v případe pozitivity. In this paper we show that the nonnegativity of a discrete quadratic functional F(x,u), associated with discrete symplectic systems, with zero, separated, and general endpoints, respectively, on admissible pairs (x,u) with corresponding boundary conditions is equivalent to the nonnegativity of certain perturbed functionals. Similar results hold also in case of the positivity.

English abstract

In this paper we show that the nonnegativity of a discrete quadratic functional F(x,u), associated with discrete symplectic systems, with zero, separated, and general endpoints, respectively, on admissible pairs (x,u) with corresponding boundary conditions is equivalent to the nonnegativity of certain perturbed functionals. Similar results hold also in case of the positivity.

Keywords in English

Discrete symplectic system, Quadratic functional, Nonnegativity, Positivity

Released

31.12.2007

ISSN

1210-3195

Journal

Tatra Mountains Mathematical Publications

Volume

38

Number

1

Pages from–to

229–241

Pages count

13

BIBTEX


@article{BUT44839,
  author="Viera {Štoudková Růžičková},
  title="Perturbation of discrete quadratic functionals",
  journal="Tatra Mountains Mathematical Publications",
  year="2007",
  volume="38",
  number="1",
  month="December",
  pages="229--241",
  issn="1210-3195"
}