| HASIL, Petr and Michal VESELÝ. Non-oscillation of periodic half-linear equations in the critical case. Electronic Journal of Differential Equations. San Marcos, TX 78666, USA: Texas State University, 2016, vol. 2016, May, p. "nestrankovano", 12 pp. ISSN 1072-6691. |
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@article{1345191,
author = {Hasil, Petr and Veselý, Michal},
article_location = {San Marcos, TX 78666, USA},
article_number = {May},
keywords = {half-linear equations; Prüfer angle; oscillation theory; conditional oscillation; oscillation constant},
language = {eng},
issn = {1072-6691},
journal = {Electronic Journal of Differential Equations},
title = {Non-oscillation of periodic half-linear equations in the critical case},
volume = {2016},
year = {2016}
}
TY - JOUR
ID - 1345191
AU - Hasil, Petr - Veselý, Michal
PY - 2016
TI - Non-oscillation of periodic half-linear equations in the critical case
JF - Electronic Journal of Differential Equations
VL - 2016
IS - May
SP - "nestrankovano"
EP - "nestrankovano"
PB - Texas State University
SN - 10726691
KW - half-linear equations
KW - Prüfer angle
KW - oscillation theory
KW - conditional oscillation
KW - oscillation constant
N2 - Recently, it was shown that certain Euler type half-linear differential equations with periodic coefficients are conditionally oscillatory and the critical oscillation constant was found. Nevertheless, the critical case remains unsolved. The objective of this article is to study the critical case. Thus, we consider the critical value of the coefficients and we prove that any considered equation is non-oscillatory. Moreover, we analyze the situation when the periods of coefficients do not need to coincide.
ER -
HASIL, Petr and Michal VESELÝ. Non-oscillation of periodic half-linear equations in the critical case. \textit{Electronic Journal of Differential Equations}. San Marcos, TX 78666, USA: Texas State University, 2016, vol.~2016, May, p.~''nestrankovano'', 12 pp. ISSN~1072-6691.
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