On the integral characterization of principal solutions for half-linear ODE

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Authors

CECCHI Mariella DOŠLÁ Zuzana DOŠLÝ Ondřej MARINI Mauro

Year of publication 2013
Type Article in Periodical
Magazine / Source Electronic Journal of Qualitative Theory of Differential Equations
MU Faculty or unit

Faculty of Science

Citation
Web http://www.math.u-szeged.hu/ejqtde/p1971.pdf
Field General mathematics
Keywords Half-linear differential equation; principal solution; oscillation
Description 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.
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