Oscillation and nonoscillation of perturbed higher order Euler-type differential equations

Oscillatory properties of even order self-adjoint linear differential equations in the form $$ \sum_{k=0}^{n} (-1)^k\nu_k\left(\frac{y^{(k)}}{t^{2n-2k-\alpha}}\right)^{(k)} =(-1)^m\left(q_m(t)y^{(m)}\right)^{(m)},\; \nu_n:=1, $$ where $m \in \{0, 1\}$, $\alpha \not\in \{1, 3, \dots , 2n-1\}$ and $...

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Bibliographic Details
Main Author: Simona Fišnarová
Format: Article
Language:English
Published: University of Szeged 2005-06-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=221