Dominant and subdominant positive solutions to generalized Dickman equation, Applied Mathematics and Computations
The result's identifiers
Result code in 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>
Result on the web
<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>
Alternative languages
Result language
angličtina
Original language name
Dominant and subdominant positive solutions to generalized Dickman equation, Applied Mathematics and Computations
Original language description
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.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
—
Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
APPLIED MATHEMATICS AND COMPUTATION
ISSN
0096-3003
e-ISSN
1873-5649
Volume of the periodical
2018
Issue of the periodical within the volume
320
Country of publishing house
US - UNITED STATES
Number of pages
17
Pages from-to
169-186
UT code for WoS article
000432789500013
EID of the result in the Scopus database
2-s2.0-85045260279