Detail publikačního výsledku

Positive solutions to generalized Dickman equation

DIBLÍK, J.

Originální název

Positive solutions to generalized Dickman equation

Anglický název

Positive solutions to generalized Dickman equation

Druh

Článek WoS

Originální abstrakt

The paper investigates large-time behaviour of positive solutions to a generalized Dickman equation. The asymptotic behaviour of dominant and subdominant positive solutions is analysed and a structure formula describing behaviour of all solutions is proved. A criterion is also given for sufficient conditions on initial functions to generate positive solutions with prescribed asymptotic behaviour with values of their weighted limits computed.

Anglický abstrakt

The paper investigates large-time behaviour of positive solutions to a generalized Dickman equation. The asymptotic behaviour of dominant and subdominant positive solutions is analysed and a structure formula describing behaviour of all solutions is proved. A criterion is also given for sufficient conditions on initial functions to generate positive solutions with prescribed asymptotic behaviour with values of their weighted limits computed.

Klíčová slova

generalized Dickman equation; positive solution; dominant solution; subdominant solution; asymptotic behaviour; delay; weighted limit

Klíčová slova v angličtině

generalized Dickman equation; positive solution; dominant solution; subdominant solution; asymptotic behaviour; delay; weighted limit

Autoři

DIBLÍK, J.

Rok RIV

2019

Vydáno

15.03.2018

Nakladatel

Elsevier

ISSN

0893-9659

Periodikum

Applied Mathematics Letters

Svazek

72

Číslo

10

Stát

Spojené státy americké

Strany od

111

Strany do

117

Strany počet

7

URL

https://www.sciencedirect.com/science/article/pii/S0893965918300697?via%3Dihub

BibTex

@article{BUT149458,
  author="Josef {Diblík}",
  title="Positive solutions to generalized Dickman equation",
  journal="Applied Mathematics Letters",
  year="2018",
  volume="72",
  number="10",
  pages="111--117",
  doi="10.1016/j.aml.2018.03.004",
  issn="0893-9659",
  url="https://www.sciencedirect.com/science/article/pii/S0893965918300697?via%3Dihub"
}