Detail publikace

Bounded solutions to systems of fractional discrete equations

DIBLÍK, J.

Originální název

Bounded solutions to systems of fractional discrete equations

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

angličtina

Originální abstrakt

The article is concerned with systems of fractional discrete equations Delta(alpha)x(n + 1) = F-n(n, x(n), x(n - 1), ..., x(n(0))), n = n(0), n(0) + 1, ..., where n(0) is an element of Z , n is an independent variable, Delta(alpha) is an alpha-order fractional difference, alpha is an element of R, F-n : {n} x Rn-n0+1 -> R-s, S >= 1 is a fixed integer, and x : {n(0), n(0) + 1, ...} -> R-s is a dependent (unknown) variable. A retract principle is used to prove the existence of solutions with graphs remaining in a given domain for every n >= n(0), which then serves as a basis for further proving the existence of bounded solutions to a linear nonhomogeneous system of discrete equations Delta(alpha)x(n + 1) = A(n)x(n) + delta(n), n = n(0), n(0) + 1, ..., where A(n) is a square matrix and delta(n) is a vector function. Illustrative examples accompany the statements derived, possible generalizations are discussed, and open problems for future research are formulated as well.

Klíčová slova

Fractional discrete difference; asymptotic behavior; system of fractional discrete equations; estimates of solutions

Autoři

DIBLÍK, J.

Vydáno

19. 7. 2022

Nakladatel

De Gruyter

ISSN

2191-950X

Periodikum

Advances in Nonlinear Analysis

Ročník

11

Číslo

1

Stát

Spolková republika Německo

Strany od

1614

Strany do

1630

Strany počet

17

URL

https://www.degruyter.com/document/doi/10.1515/anona-2022-0260/html

Plný text v Digitální knihovně

http://hdl.handle.net/11012/208201

BibTex

@article{BUT178596,
  author="Josef {Diblík}",
  title="Bounded solutions to systems of fractional discrete equations",
  journal="Advances in Nonlinear Analysis",
  year="2022",
  volume="11",
  number="1",
  pages="1614--1630",
  doi="10.1515/anona-2022-0260",
  issn="2191-950X",
  url="https://www.degruyter.com/document/doi/10.1515/anona-2022-0260/html"
}