Oscillation of neutral second order half-linear differential equations without commutativity in deviating arguments
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62156489%3A43410%2F17%3A43911325" target="_blank" >RIV/62156489:43410/17:43911325 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1515/ms-2017-0003" target="_blank" >https://doi.org/10.1515/ms-2017-0003</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1515/ms-2017-0003" target="_blank" >10.1515/ms-2017-0003</a>
Alternative languages
Result language
angličtina
Original language name
Oscillation of neutral second order half-linear differential equations without commutativity in deviating arguments
Original language description
We study the half-linear neutral differential equation r(t)Φ(z (t)) + c(t)Φ(x(σ(t))) = 0, z(t) = x(t) + b(t)x(τ(t)), where Φ(t) = |t| p-2 t. We present new oscillation criteria for this equation in case when σ(τ(t)) = τ(σ(t)) and oo r 1- q (t)dt < oo, q = p/(p - 1), p (GREATER-THAN OR EQUAL TO) 2 is a real number. The results of this paper complement our previous results in case when the above integral is divergent and/or the deviations τ, σ commute with respect to their composition.
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
<a href="/en/project/GAP201%2F10%2F1032" target="_blank" >GAP201/10/1032: Difference equations and dynamic equations on time scales III</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Mathematica Slovaca
ISSN
0139-9918
e-ISSN
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Volume of the periodical
67
Issue of the periodical within the volume
3
Country of publishing house
DE - GERMANY
Number of pages
18
Pages from-to
701-718
UT code for WoS article
000407234100016
EID of the result in the Scopus database
2-s2.0-85020715445