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HASIL, P. VÍTOVEC, J.
Originální název
Conditional oscillation of half-linear Euler-type dynamic equations on time scales
Typ
článek v časopise ve Web of Science, Jimp
Jazyk
angličtina
Originální abstrakt
We investigate second-order half-linear Euler-type dynamic equations on time scales with positive periodic coefficients. We show that these equations are conditionally oscillatory, i.e., there exists a sharp borderline (a constant given by the coefficients of the given equation) between oscillation and non-oscillation of these equations. In addition, we explicitly find this so-called critical constant. In the cases that the time scale is reals or integers, our result corresponds to the classical results as well as in the case that the coefficients are replaced by constants and we take into account the linear equations. An example and corollaries are provided as well.
Klíčová slova
time scale; dynamic equation; oscillation theory; conditional oscillation; oscillation constant; Euler equation; Riccati technique; half-linear equation
Autoři
HASIL, P.; VÍTOVEC, J.
Rok RIV
2015
Vydáno
18. 2. 2015
Nakladatel
University of Szeged
ISSN
1417-3875
Periodikum
Electronic Journal of Qualitative Theory of Differential Equations
Ročník
Číslo
6
Stát
Maďarsko
Strany od
1
Strany do
24
Strany počet
URL
http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=3610
Plný text v Digitální knihovně
http://hdl.handle.net/11012/201405
BibTex
@article{BUT112975, author="Petr {Hasil} and Jiří {Vítovec}", title="Conditional oscillation of half-linear Euler-type dynamic equations on time scales", journal="Electronic Journal of Qualitative Theory of Differential Equations", year="2015", volume="2015", number="6", pages="1--24", doi="10.14232/ejqtde.2015.1.6", issn="1417-3875", url="http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=3610" }