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Abstract and Applied Analysis
Volume 2012, Article ID 738472, 19 pages
Research Article

Perturbations of Half-Linear Euler Differential Equation and Transformations of Modified Riccati Equation

Department of Mathematics and Statistics, Masaryk University, Kotlářská 2, 611 37 Brno, Czech Republic

Received 10 July 2012; Accepted 17 September 2012

Academic Editor: Allan Peterson

Copyright © 2012 Ondřej Došlý and Hana Funková. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We investigate transformations of the modified Riccati differential equation and the obtained results we apply in the investigation of oscillatory properties of perturbed half-linear Euler differential equation. A perturbation is also allowed in the differential term.