Detail publikačního výsledku

Oscillatory and asymptotic properties of fractional delay differential equations

KISELA, T.; ČERMÁK, J.

Originální název

Oscillatory and asymptotic properties of fractional delay differential equations

Anglický název

Oscillatory and asymptotic properties of fractional delay differential equations

Druh

Článek WoS

Originální abstrakt

This article discusses the oscillatory and asymptotic properties of a test delay differential system involving a non-integer derivative order. We formulate corresponding criteria via explicit necessary and sufficient conditions that enable direct comparisons with the results known for classical integer-order delay differential equations. In particular, we shall observe that oscillatory behaviour of solutions of delay system with non-integer derivatives embodies quite different features compared to the classical results known from the integer-order case.

Anglický abstrakt

This article discusses the oscillatory and asymptotic properties of a test delay differential system involving a non-integer derivative order. We formulate corresponding criteria via explicit necessary and sufficient conditions that enable direct comparisons with the results known for classical integer-order delay differential equations. In particular, we shall observe that oscillatory behaviour of solutions of delay system with non-integer derivatives embodies quite different features compared to the classical results known from the integer-order case.

Klíčová slova

Fractional delay differential equation; oscillation; asymptotic behaviour

Klíčová slova v angličtině

Fractional delay differential equation; oscillation; asymptotic behaviour

Autoři

KISELA, T.; ČERMÁK, J.

Rok RIV

2020

Vydáno

22.02.2019

Nakladatel

Texas State University

Místo

601 UNIVERSITY DRIVE, SAN MARCOS, TX 78666 USA

ISSN

1072-6691

Periodikum

Electronic Journal of Differential Equations

Svazek

2019

Číslo

33

Stát

Spojené státy americké

Strany od

1

Strany do

15

Strany počet

15

URL

https://ejde.math.txstate.edu/Volumes/2019/33/cermak.pdf

BibTex

@article{BUT159360,
  author="Tomáš {Kisela} and Jan {Čermák}",
  title="Oscillatory and asymptotic properties of fractional delay differential equations",
  journal="Electronic Journal of Differential Equations",
  year="2019",
  volume="2019",
  number="33",
  pages="1--15",
  issn="1072-6691",
  url="https://ejde.math.txstate.edu/Volumes/2019/33/cermak.pdf"
}