Detail publikace

BEHAVIOR OF SOLUTIONS OF NONLINEAR TRIANGULAR SYSTEMS OF DISCRETE EQUATIONS

BAŠTINEC, J. DIBLÍK, J. PISKOŘOVÁ, Z.

Originální název

BEHAVIOR OF SOLUTIONS OF 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 ui(k + 1) = qi(k)\prod^i_{j=1}u^{pij}_j (k), i = 1, . . . , n 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 of initial values generating such solutions.

Klíčová slova

nonlinear triangular system, discrete equation, convergent sequence.

Autoři

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

Vydáno

27. 8. 2021

Nakladatel

Universita obrany

Místo

Brno

ISBN

978-80-7582-380-9

Kniha

MITAV 2021

Strany od

1

Strany do

12

Strany počet

12

URL

https://mitav.unob.cz

BibTex

@inproceedings{BUT172319,
  author="Jaromír {Baštinec} and Josef {Diblík} and Zuzana {Piskořová}",
  title="BEHAVIOR OF SOLUTIONS OF NONLINEAR TRIANGULAR SYSTEMS
OF DISCRETE EQUATIONS",
  booktitle="MITAV 2021",
  year="2021",
  pages="1--12",
  publisher="Universita obrany",
  address="Brno",
  isbn="978-80-7582-380-9",
  url="https://mitav.unob.cz"
}