O.Dosly, A.Ozbekler, R.Simon Hilscher

Oscillation criterion for half-linear differential equations with periodic coefficients

Abstract

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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Last change: March 8, 2012. (c) Roman Simon Hilscher