Detail publikačního výsledku

Bounded solutions to nonlinear triangular systems of discrete equations

BAŠTINEC, J.; DIBLÍK, J.; PISKOŘOVÁ, Z.

Originální název

Bounded solutions to nonlinear triangular systems of discrete equations

Anglický název

Bounded solutions to nonlinear triangular systems of discrete equations

Druh

Stať ve sborníku v databázi WoS či Scopus

Originální abstrakt

A nonlinear triangular system of discrete equations is considered where k ∈ {a, a + 1, . . . }, a is a fixed positive integer, qi are real functions and exponents pij are positive constants. Sufficient conditions are formulated assuring the existence of at least one solution u = u(k), k ∈ {a, a + 1, . . . } such that its coordinates ui(k), i = 1, . . . , n, are bounded above and below by given functions. Two convergent sequences of functions are constructed such that, with their limits, it is possible to define a set of initial values generating such solutions.

Anglický abstrakt

A nonlinear triangular system of discrete equations is considered where k ∈ {a, a + 1, . . . }, a is a fixed positive integer, qi are real functions and exponents pij are positive constants. Sufficient conditions are formulated assuring the existence of at least one solution u = u(k), k ∈ {a, a + 1, . . . } such that its coordinates ui(k), i = 1, . . . , n, are bounded above and below by given functions. Two convergent sequences of functions are constructed such that, with their limits, it is possible to define a set of initial values generating such solutions.

Klíčová slova

nonlinear triangular system, discrete equation, convergent sequence

Klíčová slova v angličtině

nonlinear triangular system, discrete equation, convergent sequence

Autoři

BAŠTINEC, J.; DIBLÍK, J.; PISKOŘOVÁ, Z.

Rok RIV

2022

Vydáno

20.12.2021

Nakladatel

Univerzita obrany

Místo

Brno

ISBN

978-80-7582-441-7

Kniha

Mathematics, Information Technologies and Applied Sciences 021, post-conference proceedings of extended versions of selected papers

Strany od

8

Strany do

21

Strany počet

14

URL

https://mitav.unob.cz/

BibTex

@inproceedings{BUT176031,
  author="Jaromír {Baštinec} and Josef {Diblík} and Zuzana {Gavorová}",
  title="Bounded solutions to nonlinear triangular systems of discrete equations",
  booktitle="Mathematics, Information Technologies and Applied Sciences 021,
post-conference proceedings of extended versions of selected papers",
  year="2021",
  number="1",
  pages="8--21",
  publisher="Univerzita obrany",
  address="Brno",
  isbn="978-80-7582-441-7",
  url="https://mitav.unob.cz/"
}