Oscillation and non-oscillation criterion for Riemann-Weber type half-linear differential equations
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F16%3A00088026" target="_blank" >RIV/00216224:14310/16:00088026 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.14232/ejqtde.2016.1.59" target="_blank" >http://dx.doi.org/10.14232/ejqtde.2016.1.59</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.14232/ejqtde.2016.1.59" target="_blank" >10.14232/ejqtde.2016.1.59</a>
Alternative languages
Result language
angličtina
Original language name
Oscillation and non-oscillation criterion for Riemann-Weber type half-linear differential equations
Original language description
By the combination of the modified half-linear Prufer method and the Riccati technique, we study oscillatory properties of half-linear differential equations. Taking into account the transformation theory of half-linear equations and using some known results, we show that the analysed equations in the Riemann-Weber form with perturbations in both terms are conditionally oscillatory. Within the process, we identify the critical oscillation values of their coefficients and, consequently, we decide when the considered equations are oscillatory and when they are non-oscillatory. As a direct corollary of our main result, we solve the so-called critical case for a certain type of half-linear non-perturbed equations.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Electronic Journal of Qualitative Theory of Differential Equations
ISSN
1417-3875
e-ISSN
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Volume of the periodical
2016
Issue of the periodical within the volume
59
Country of publishing house
HU - HUNGARY
Number of pages
22
Pages from-to
"nestrankovano"
UT code for WoS article
000390779500001
EID of the result in the Scopus database
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