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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" }