Nonoscillatory solutions of half-linear Euler-type equation with n terms
Result description
e consider the half-linear Euler-type equation with n terms (Formula presented.) in the subcritical case when 0<μ<μp and p>1. The solutions of this nonoscillatory equation cannot be found in an explicit form and can be studied only asymptotically. In this paper, with the use of the perturbation principle, modified Riccati technique, and the fixed point theorem, we establish an asymptotic formula for one of its solutions.
Keywords
perturbationnonoscillatory solutionhalf-linear differential equationEuler equationasymptotic formulas
The result's identifiers
Result code in IS VaVaI
Result on the web
DOI - Digital Object Identifier
Alternative languages
Result language
angličtina
Original language name
Nonoscillatory solutions of half-linear Euler-type equation with n terms
Original language description
e consider the half-linear Euler-type equation with n terms (Formula presented.) in the subcritical case when 0<μ<μp and p>1. The solutions of this nonoscillatory equation cannot be found in an explicit form and can be studied only asymptotically. In this paper, with the use of the perturbation principle, modified Riccati technique, and the fixed point theorem, we establish an asymptotic formula for one of its solutions.
Czech name
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Czech description
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Classification
Type
Jimp - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Mathematical Methods in the Applied Sciences
ISSN
0170-4214
e-ISSN
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Volume of the periodical
44
Issue of the periodical within the volume
13
Country of publishing house
GB - UNITED KINGDOM
Number of pages
8
Pages from-to
7615-7622
UT code for WoS article
000496121800001
EID of the result in the Scopus database
2-s2.0-85074976370
Basic information
Result type
Jimp - Article in a specialist periodical, which is included in the Web of Science database
OECD FORD
Pure mathematics
Year of implementation
2020