Detail publikačního výsledku

Dominant and subdominant positive solutions to generalized Dickman equation, Applied Mathematics and Computations

DIBLÍK, J.; MEDINA, R.

Originální název

Dominant and subdominant positive solutions to generalized Dickman equation, Applied Mathematics and Computations

Anglický název

Dominant and subdominant positive solutions to generalized Dickman equation, Applied Mathematics and Computations

Druh

Článek WoS

Originální abstrakt

The paper considers a generalized Dickman equation. It is proved that there are two mutually disjoint sets of positive decreasing solutions such that, for every two solutions from different sets, the limit of their ratio equals 0 or ∞. The asymptotic behavior of such solutions is derived and a structure formula utilizing such solutions and describing all the solutions of a given equation is discussed. In addition, a criterion is proved giving sufficient conditions for initial functions to generate solutions falling into the first or the second set. Illustrative examples are given. Some open problems are suggested to be solved.

Anglický abstrakt

The paper considers a generalized Dickman equation. It is proved that there are two mutually disjoint sets of positive decreasing solutions such that, for every two solutions from different sets, the limit of their ratio equals 0 or ∞. The asymptotic behavior of such solutions is derived and a structure formula utilizing such solutions and describing all the solutions of a given equation is discussed. In addition, a criterion is proved giving sufficient conditions for initial functions to generate solutions falling into the first or the second set. Illustrative examples are given. Some open problems are suggested to be solved.

Klíčová slova

Generalized Dickman equation; Positive solution; Dominant solution; Subdominant solution; Asymptotic behavior; Delay

Klíčová slova v angličtině

Generalized Dickman equation; Positive solution; Dominant solution; Subdominant solution; Asymptotic behavior; Delay

Autoři

DIBLÍK, J.; MEDINA, R.

Rok RIV

2019

Vydáno

26.09.2018

ISSN

0096-3003

Periodikum

APPLIED MATHEMATICS AND COMPUTATION

Svazek

2018

Číslo

320

Stát

Spojené státy americké

Strany od

169

Strany do

186

Strany počet

17

URL

https://doi.org/10.1016/j.amc.2018.03.090

BibTex

@article{BUT150428,
  author="Josef {Diblík} and Rigoberto {Medina}",
  title="Dominant and subdominant positive solutions to generalized Dickman equation,
Applied Mathematics and Computations",
  journal="APPLIED MATHEMATICS AND COMPUTATION",
  year="2018",
  volume="2018",
  number="320",
  pages="169--186",
  doi="10.1016/j.amc.2018.03.090",
  issn="0096-3003",
  url="https://doi.org/10.1016/j.amc.2018.03.090"
}