Publication detail

# Determination of initial data generating (b, c)-bounded solutions of a triangular differential system of equations

BAŠTINEC, J. DIBLÍK, J. KOROBKO, E.

Original Title

Determination of initial data generating (b, c)-bounded solutions of a triangular differential system of equations

English Title

Determination of initial data generating (b, c)-bounded solutions of a triangular differential system of equations

Language

en

Original Abstract

The paper considers a nonlinear triangular system of discrete equations u_1(k + 1) = q_1(k)α_1(u_1(k)), u_2(k + 1) = q_2(k)α_2(u_1(k))α_3(u_2(k)) where q_i, i=1,2 are given functions, k\ge k_0, k_0 is a natural number and α_i, i=1,2,3 are increasing continuous positive functions. Initial data for the existence of solutions with coordinates bounded from below and from above by the given functions are determined.

English abstract

The paper considers a nonlinear triangular system of discrete equations u_1(k + 1) = q_1(k)α_1(u_1(k)), u_2(k + 1) = q_2(k)α_2(u_1(k))α_3(u_2(k)) where q_i, i=1,2 are given functions, k\ge k_0, k_0 is a natural number and α_i, i=1,2,3 are increasing continuous positive functions. Initial data for the existence of solutions with coordinates bounded from below and from above by the given functions are determined.

Keywords

Initial data, triangular system, discrete equation, system of equations, convergent sequence.

Released

14.12.2020

Publisher

UNOB Brno

Location

Brno

ISBN

978-80-7582-366-3

Book

Mathematics, Information Technologies and Applied Sciences 2020, post-conference proceedings of extended versions of selected papers

Edition number

1

Pages from

7

Pages to

19

Pages count

13

URL

Documents

BibTex

```
@inproceedings{BUT167285,
author="Jaromír {Baštinec} and Josef {Diblík} and Evgeniya {Korobko}",
title="Determination of initial data generating (b, c)-bounded solutions of a triangular differential system of equations",
annote="The paper considers a nonlinear triangular system of discrete equations
u_1(k + 1) = q_1(k)α_1(u_1(k)),
u_2(k + 1) = q_2(k)α_2(u_1(k))α_3(u_2(k))
where q_i, i=1,2 are given functions, k\ge k_0, k_0 is a natural number and α_i, i=1,2,3 are increasing continuous positive functions. Initial data for the existence of solutions with coordinates bounded from below and from above by the given functions are determined.",
address="UNOB Brno",
booktitle="Mathematics, Information Technologies and Applied Sciences 2020,
post-conference proceedings of extended versions of selected papers",
chapter="167285",
howpublished="electronic, physical medium",
institution="UNOB Brno",
year="2020",
month="december",
pages="7--19",
publisher="UNOB Brno"
}
```