Oscillation and nonoscillation of perturbed higher order Euler-type differential equations
| Autor: | Simona Fišnarová |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2005 |
| Předmět: | |
| Zdroj: | Electronic Journal of Qualitative Theory of Differential Equations, Vol 2005, Iss 13, Pp 1-21 (2005) |
| Druh dokumentu: | article |
| ISSN: | 1417-3875 |
| DOI: | 10.14232/ejqtde.2005.1.13 |
| Popis: | 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 $\nu_0, \dots, \nu_{n-1},$ are real constants satisfying certain conditions, are investigated. In particular, the case when $q_m(t)=\frac{\beta}{t^{2n-2m-\alpha}\ln^2 t }$ is studied. |
| Databáze: | Directory of Open Access Journals |
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