Přístupnostní navigace
E-application
Search Search Close
Publication detail
BAŠTINEC, J. DIBLÍK, J. KOROBKO, E.
Original Title
Bounded Solutions of a Triangular System of Two Nonlinear Discrete Equations
Type
conference paper
Language
English
Original Abstract
A nonlinear triangular system of discrete equations u_1(k + 1) = q_1(k)u^p_1 (k), u_2(k + 1) = q_2(k)u^r_1(k)u^t_2(k) is considered where q_i: {a, a + 1,...} → (0, ∞), i = 1, 2 are given functions, a is a fixed positive integer and p, r, t are positive numbers. Sufficient conditions are given for the existence of a solution u = (u_1, u_2): {a, a + 1,...} → R × R such that its coordinates u_i, i = 1, 2 are between two given functions b_i, c_i: {a, a + 1,...} → R satisfying 0 ≤ b_i(k) < c_i(k) for every k ∈ {a, a + 1,...}.
Keywords
nonlinear system; triangular system; discrete equation; retract method.
Authors
BAŠTINEC, J.; DIBLÍK, J.; KOROBKO, E.
Released
6. 4. 2022
Publisher
AIP
Location
Melville (USA)
ISBN
978-0-7354-4182-8
Book
ICNAAM 2020 PROCEEDINGS - AIP CP Volume 2425
0094-243X
Periodical
AIP conference proceedings
Year of study
2245
Number
1
State
United States of America
Pages from
270008-1
Pages to
270008-4
Pages count
4
URL
https://doi.org/10.1063/5.0081826