Publication detail

Bounded solutions to nonlinear triangular systems of discrete equations

BAŠTINEC, J. DIBLÍK, J. PISKOŘOVÁ, Z.

Original Title

Bounded solutions to nonlinear triangular systems of discrete equations

Type

conference paper

Language

English

Original Abstract

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.

Keywords

nonlinear triangular system, discrete equation, convergent sequence

Authors

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

Released

20. 12. 2021

Publisher

Univerzita obrany

Location

Brno

ISBN

978-80-7582-441-7

Book

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

Edition number

1

Pages from

8

Pages to

21

Pages count

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/"
}