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

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F18%3APU129228" target="_blank" >RIV/00216305:26220/18:PU129228 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.1016/j.amc.2018.03.090" target="_blank" >https://doi.org/10.1016/j.amc.2018.03.090</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.amc.2018.03.090" target="_blank" >10.1016/j.amc.2018.03.090</a>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

—

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2018

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

APPLIED MATHEMATICS AND COMPUTATION

ISSN

0096-3003

e-ISSN

1873-5649

Svazek periodika

2018

Číslo periodika v rámci svazku

320

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

17

Strana od-do

169-186

Kód UT WoS článku

000432789500013

EID výsledku v databázi Scopus

2-s2.0-85045260279