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BAŠTINEC, J. DIBLÍK, J. PISKOŘOVÁ, Z.
Original Title
BEHAVIOR OF SOLUTIONS OF NONLINEAR TRIANGULAR SYSTEMS OF DISCRETE EQUATIONS
Type
conference paper
Language
English
Original Abstract
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.
Keywords
nonlinear triangular system, discrete equation, convergent sequence.
Authors
BAŠTINEC, J.; DIBLÍK, J.; PISKOŘOVÁ, Z.
Released
27. 8. 2021
Publisher
Universita obrany
Location
Brno
ISBN
978-80-7582-380-9
Book
MITAV 2021
Pages from
1
Pages to
12
Pages count
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" }