Oscillation criterion for half-linear differential equations with periodic coefficients

Dosly, O.; Ozbekler, ABDULLAH; Simon Hilscher, R.

doi:10.1016/j.jmaa.2012.03.020

Oscillation criterion for half-linear differential equations with periodic coefficients

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

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, vol.393, no.2, pp.360-366, 2012 (SCI-Expanded, Scopus)

Publication Type: Article / Article
Volume: 393 Issue: 2
Publication Date: 2012
Doi Number: 10.1016/j.jmaa.2012.03.020
Journal Name: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Page Numbers: pp.360-366
Ankara University Affiliated: No

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. (C) 2012 Elsevier Inc. All rights reserved.