Detail publikace
On asymptotic behaviour of solutions of a linear fractional differential equation with a variable coefficient
KISELA, T.
Anglický název
On asymptotic behaviour of solutions of a linear fractional differential equation with a variable coefficient
Typ
článek v časopise ve Web of Science, Jimp
Jazyk
en
Originální abstrakt
The paper deals with qualitative analysis of solutions of a test linear differential equation involving variable coefficient and derivative of non-integer order. We formulate upper and lower estimates for these solutions depending on boundedness of the variable coefficient. In the special case of asymptotically constant coefficient, we present the sufficient (and nearly necessary) conditions for the convergence of solutions to zero.
Anglický abstrakt
The paper deals with qualitative analysis of solutions of a test linear differential equation involving variable coefficient and derivative of non-integer order. We formulate upper and lower estimates for these solutions depending on boundedness of the variable coefficient. In the special case of asymptotically constant coefficient, we present the sufficient (and nearly necessary) conditions for the convergence of solutions to zero.
Klíčová slova anglicky
fractional differential equation; variable coefficients; stability; asymptotic behaviour
Vydáno
08.12.2017
ISSN
1512-0015
Ročník
72
Číslo
1
Strany od–do
71–78
Počet stran
8
BIBTEX
@article{BUT142560,
author="Tomáš {Kisela},
title="On asymptotic behaviour of solutions of a linear fractional differential equation with a variable coefficient",
year="2017",
volume="72",
number="1",
month="December",
pages="71--78",
issn="1512-0015"
}