Detail publikačního výsledku

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

Anglický název

BEHAVIOR OF SOLUTIONS OF NONLINEAR TRIANGULAR SYSTEMS OF DISCRETE EQUATIONS

Druh

Stať ve sborníku v databázi WoS či Scopus

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.

Anglický 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.

Klíčová slova v angličtině

nonlinear triangular system, discrete equation, convergent sequence.

Autoři

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

Rok RIV

2022

Vydáno

27.08.2021

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 {Gavorová}",
  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"
}