| CECCHI, Mariella, Zuzana DOŠLÁ, Ondřej DOŠLÝ and Mauro MARINI. On the integral characterization of principal solutions for half-linear ODE. Electronic Journal of Qualitative Theory of Differential Equations. Szeged, 2013, vol. 2013, No 12, p. nestránkováno, 14 pp. ISSN 1417-3875. |
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@article{1085619,
author = {Cecchi, Mariella and Došlá, Zuzana and Došlý, Ondřej and Marini, Mauro},
article_location = {Szeged},
article_number = {12},
keywords = {Half-linear differential equation; principal solution; oscillation},
language = {eng},
issn = {1417-3875},
journal = {Electronic Journal of Qualitative Theory of Differential Equations},
title = {On the integral characterization of principal solutions for half-linear ODE},
url = {http://www.math.u-szeged.hu/ejqtde/p1971.pdf},
volume = {2013},
year = {2013}
}
TY - JOUR
ID - 1085619
AU - Cecchi, Mariella - Došlá, Zuzana - Došlý, Ondřej - Marini, Mauro
PY - 2013
TI - On the integral characterization of principal solutions for half-linear ODE
JF - Electronic Journal of Qualitative Theory of Differential Equations
VL - 2013
IS - 12
SP - nestránkováno
EP - nestránkováno
SN - 14173875
KW - Half-linear differential equation
KW - principal solution
KW - oscillation
UR - http://www.math.u-szeged.hu/ejqtde/p1971.pdf
L2 - http://www.math.u-szeged.hu/ejqtde/p1971.pdf
N2 - We discuss a new integral characterization of principal solutions for half-linear differential equations, introduced in the recent paper of S. Fisnarova and R. Marik, Nonlinear Anal. 74 (2011), 6427-6433. We study this characterization in the framework of the existing results and we show when this new integral characterization with a parameter $\alpha$ is equivalent with two extremal cases of the integral characterization used in the literature. We illustrate our results on the Euler and Riemann-Weber differential equations.
ER -
CECCHI, Mariella, Zuzana DOŠLÁ, Ondřej DOŠLÝ and Mauro MARINI. On the integral characterization of principal solutions for half-linear ODE. \textit{Electronic Journal of Qualitative Theory of Differential Equations}. Szeged, 2013, vol.~2013, No~12, p.~nestránkováno, 14 pp. ISSN~1417-3875.
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