Publication detail

BOUNDED SOLUTIONS OF A SYSTEM OF TWO DISCRETE EQUATIONS

BAŠTINEC, J. DIBLÍK, J. PISKOŘOVÁ, Z.

Original Title

BOUNDED SOLUTIONS OF A SYSTEM OF TWO DISCRETE EQUATIONS

Type

article in a collection out of WoS and Scopus

Language

English

Original Abstract

In the paper we consider two-dimensional linear non-homogeneous system of discrete equations y_1(k + 1) = py_1(k) + qy_2(k) + g_1(k), y_2(k + 1) = −qy_1(k) + py_2(k) + g_2(k), where k = a, a + 1, . . . with a fixed integer a ∈ N, p, q are real constants, g_i {a, a + 1, . . . } → R, i = 1, 2 are given functions. Sufficient conditions are derived guaranteeing the existence of a solution y(k) = (y_1(k), y_2(k)), k = a, a + 1, . . . satisfying y_1^2(k) + y_2^2(k) < M, where M is a given positive constant.

Keywords

bounded solution, linear discrete system, retract principle, mapping.

Authors

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

Released

10. 6. 2022

Publisher

UNOB

Location

Brno

ISBN

978-80-7582-456-1

Book

Matematika, informační technologie a aplikované vědy

Edition number

1

Pages from

1

Pages to

10

Pages count

10

BibTex

@inproceedings{BUT178321,
  author="Jaromír {Baštinec} and Josef {Diblík} and Zuzana {Gavorová}",
  title="BOUNDED SOLUTIONS OF A SYSTEM OF TWO DISCRETE EQUATIONS",
  booktitle="Matematika, informační technologie a aplikované vědy",
  year="2022",
  number="1",
  pages="1--10",
  publisher="UNOB",
  address="Brno",
  isbn="978-80-7582-456-1"
}