Abdullah Öbekler (Atılım Üniversitesi)

Oscillation Criterion for Half-Linear Differential Equations with Periodic Coefficients

In this talk, we present an oscillation criterion for second order halflinear 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.


Coauthors: O. Dosly and R. Simon Hilscher






Fatma Karakoç (Ankara Universitesi)

Kesirli Mertebeden Diferansiyel Denklemler

Bölüm 4. Mittag-Leffler Functions*

*Kai Diethelm: The Analysis of Fractional Differential Equations