CECCHI, Mariella, Zuzana DOŠLÁ, Ondřej DOŠLÝ a Mauro MARINI. On the integral characterization of principal solutions for half-linear ODE. Electronic Journal of Qualitative Theory of Differential Equations. Szeged, 2013, roč. 2013, č. 12, s. nestránkováno, 14 s. ISSN 1417-3875. |
Další formáty:
BibTeX
LaTeX
RIS
@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 a Mauro MARINI. On the integral characterization of principal solutions for half-linear ODE. \textit{Electronic Journal of Qualitative Theory of Differential Equations}. Szeged, 2013, roč.~2013, č.~12, s.~nestránkováno, 14 s. ISSN~1417-3875.
|