Detail publikace

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

Typ

článek ve sborníku ve WoS nebo Scopus

Jazyk

angličtina

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.

Klíčová slova

nonlinear triangular system, discrete equation, convergent sequence

Autoři

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

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

Číslo edice

1

Strany od

8

Strany do

21

Strany počet

14

URL

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/"
}