Další formáty:
BibTeX
LaTeX
RIS
@article{1188459,
author = {Hasil, Petr and Mařík, Robert and Veselý, Michal},
article_location = {USA},
article_number = {258159},
doi = {http://dx.doi.org/10.1155/2014/258159},
keywords = {half-linear equation; oscillation theory; conditional oscillation; oscillation constant; Euler equation; Riccati technique},
language = {eng},
issn = {1085-3375},
journal = {Abstract and Applied Analysis},
title = {Conditional oscillation of half-linear differential equations with coefficients having mean values},
volume = {2014},
year = {2014}
}
TY - JOUR
ID - 1188459
AU - Hasil, Petr - Mařík, Robert - Veselý, Michal
PY - 2014
TI - Conditional oscillation of half-linear differential equations with coefficients having mean values
JF - Abstract and Applied Analysis
VL - 2014
IS - 258159
SP - 1-14
EP - 1-14
PB - Hindawi Publishing Corporation
SN - 10853375
KW - half-linear equation
KW - oscillation theory
KW - conditional oscillation
KW - oscillation constant
KW - Euler equation
KW - Riccati technique
N2 - In the paper, we prove that the existence of the mean values of coefficients is sufficient for second order half-linear Euler-type differential equations to be conditionally oscillatory. We explicitly find an oscillation constant even for the considered equations whose coefficients can change sign. Our results cover known results concerning periodic and almost periodic positive coefficients and extend them.
ER -
HASIL, Petr, Robert MAŘÍK a Michal VESELÝ. Conditional oscillation of half-linear differential equations with coefficients having mean values. \textit{Abstract and Applied Analysis}. USA: Hindawi Publishing Corporation, roč.~2014, č.~258159, s.~1-14. ISSN~1085-3375. doi:10.1155/2014/258159. 2014.
|
