Browsing by Author "Simon Hilscher, R."
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Article Citation Count: 10Oscillation criterion for half-linear differential equations with periodic coefficients(Academic Press inc Elsevier Science, 2012) Özbekler, Abdullah; Ozbekler, A.; Simon Hilscher, R.; MathematicsIn 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. (C) 2012 Elsevier Inc. All rights reserved.