Half-linear Euler differential equation and its perturbations

• Authors: DOŠLÝ Ondřej
• Year of publication: 2016
• Type: Article in Periodical
• Magazine / Source: ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS
• MU Faculty or unit: Faculty of Science
• Web: http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=8&paramtipus_ertek=publication&param_ertek=4250
• Doi: http://dx.doi.org/10.14232/ejqtde.2016.8.10
• Field: General mathematics
• Keywords: Euler half-linear differential equation; Riemann-Weber differential equation; Riccati technique; modified Riccati equation; conditional oscillation

Attached files

• p4250.pdf

• Description: We investigate oscillatory properties of perturbed half-linear Euler differential equation. We give an alternative proof (simpler and more straightforward) of the main result of [O. Došlý, H. Funková, Abstr. Appl. Anal. 2012, Art. ID 738472] and we prove the extended version of a conjecture formulated in [O. Došlý, J. Math. Anal. Appl. 323(2006), 426–440].

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