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

Type

article in a collection out of WoS and Scopus

Language

English

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.

Keywords

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

Authors

BAŠTINEC, J.; DIBLÍK, J.; KOROBKO, E.

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

http://mitav.unob.cz/index20.html

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",
  booktitle="Mathematics, Information Technologies and Applied Sciences 2020,
post-conference proceedings of extended versions of selected papers",
  year="2020",
  number="1",
  pages="7--19",
  publisher="UNOB Brno",
  address="Brno",
  isbn="978-80-7582-366-3",
  url="http://mitav.unob.cz/index20.html"
}