Oscillatory properties of certain system of non-linear ordinary differential equations
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F18%3APU128685" target="_blank" >RIV/00216305:26210/18:PU128685 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.18514/MMN.2018.2391" target="_blank" >http://dx.doi.org/10.18514/MMN.2018.2391</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.18514/MMN.2018.2391" target="_blank" >10.18514/MMN.2018.2391</a>
Alternative languages
Result language
angličtina
Original language name
Oscillatory properties of certain system of non-linear ordinary differential equations
Original language description
We consider certain two-dimensional system of non-linear differential equations u'=g(t)|v|^(1/A)sgn v v'=-p(t)|u|^(A) sgn u, where A is a positive number, g,p are locally integrable functions (g is non-negative). In the case when coefficient g is not inegrable on the half-line, the considered system has been widely studied in particular cases such linear systems as well as second order linear and half-linear differential equations. However, the case when function g is integrable on the hlaf-line has not been studied in detail in the existing literature. Moreover, we allow that the coefficient g can have zero points in any neigh- bourhood of infinity and consequently, considered system can not be rewritten as the second order linear or half-linear differential equation in this case. In the paper, new oscillation criteria are established in the case when function g is integrable on the hlaf-line and without restricted assumption function p preserves its sign (which is usually considered).
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
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
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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
Miskolc Mathematical Notes (electronic version)
ISSN
1787-2405
e-ISSN
1787-2413
Volume of the periodical
19
Issue of the periodical within the volume
1
Country of publishing house
HU - HUNGARY
Number of pages
21
Pages from-to
439-459
UT code for WoS article
000441460300034
EID of the result in the Scopus database
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