Publication detail

Nonexistence of periodic solutions and S-asymptotically periodic solutions in fractional difference equations

DIBLÍK, J. FEČKAN, M. POSPÍŠIL, M.

Original Title

Nonexistence of periodic solutions and S-asymptotically periodic solutions in fractional difference equations

Type

journal article in Web of Science

Language

English

Original Abstract

In this paper, it is shown that a fractional difference equation with a periodic right-hand side can not possess a periodic solution but it can have an S-asymptotically periodic solution. Sufficient conditions are proved for the existence of a unique S-asymptotically periodic solution. An example is also given illustrating the obtained results.

Keywords

Fractional difference; periodic solution; nonlinear fractional difference equation; asymptotic property

Authors

DIBLÍK, J.; FEČKAN, M.; POSPÍŠIL, M.

RIV year

2015

Released

15. 4. 2015

Publisher

ELSEVIER SCIENCE INC.

Location

360 PARK AVE SOUTH, NEW YORK, NY 10010-1710 USA

ISBN

0096-3003

Periodical

APPLIED MATHEMATICS AND COMPUTATION

Year of study

257

Number

1

State

United States of America

Pages from

230

Pages to

240

Pages count

11

URL

https://www.sciencedirect.com/science/article/abs/pii/S0096300314016415

BibTex

@article{BUT114457,
  author="Josef {Diblík} and Michal {Fečkan} and Michal {Pospíšil}",
  title="Nonexistence of periodic solutions and S-asymptotically periodic solutions in fractional difference equations",
  journal="APPLIED MATHEMATICS AND COMPUTATION",
  year="2015",
  volume="257",
  number="1",
  pages="230--240",
  doi="10.1016/j.amc.2014.11.108",
  issn="0096-3003",
  url="https://www.sciencedirect.com/science/article/abs/pii/S0096300314016415"
}