Oscillation criterion for half-linear differential equations with periodic coefficients

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Authors

DOŠLÝ Ondřej ÖZBEKLER Abdullah ŠIMON HILSCHER Roman

Year of publication 2012
Type Article in Periodical
Magazine / Source Journal of Mathematical Analysis and Applications
MU Faculty or unit

Faculty of Science

Citation
Doi http://dx.doi.org/10.1016/j.jmaa.2012.03.020
Field General mathematics
Keywords Oscillation; Half-linear equation; Periodic coefficients; Modified Riccati equation; Hill's Equation
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Description In this paper, we present an oscillation criterion for second order half-linear differential equations with periodic coefficients. The method is based on the nonexistence of a proper solution of the related modified Riccati equation. Our result can be regarded as an oscillatory counterpart to the nonoscillation criterion by Sugie and Matsumura (2008). These two theorems provide a complete half-linear extension of the oscillation criterion of Kwong and Wong (2003) dealing with the Hill's equation.
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