Power comparison theorems in half-linear oscillation theory

• Authors: DOŠLÝ Ondřej; FIŠNAROVÁ Simona; MAŘÍK Robert
• Year of publication: 2013
• Type: Article in Periodical
• Magazine / Source: J. Math. Anal. Appl.
• MU Faculty or unit: Faculty of Science
• Web: http://www.sciencedirect.com/science/article/pii/S0022247X12010049
• Doi: http://dx.doi.org/10.1016/j.jmaa.2012.12.029
• Field: General mathematics
• Keywords: Half-linear differential equation; oscillation and nonoscillation criteria; Riccati technique; conditional oscillation

Attached files

• Dosly_JMAA2013.pdf

• Description: We compare oscillatory behavior of two half-linear differential equations with different powers by the homogeneous functions appearing in these equations. Our results generalize and extend several previously proved power comparison theorems.

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