Raziye Mert (Çankaya Üniversitesi)

 Comparison Theorems for Even Order Dynamic Equations on Time Scales

Abstract.  In this talk, we consider the following pair of even order linear dynamic equations on a time scale x^{\Delta^n}(t)+p(t)x(t)=0,   x^{\Delta^n}(t)+q(t)x(t)=0, where $p,q\in C_{rd}(\T,{\R}^+),$ $n$ is even, $\T$ is a time scale. We obtain some point-wise and integral comparison theorems for the above equations.  These will be shown to be ''sharp'' by means of  specific examples. (Coauthors: Jia Baoguo and Lynn Erbe)

Ağacık Zafer (ODTÜ)

Kesirli Mertebeden Diferansiyel Denklemler

Bölüm 5. Varlık ve Teklik Teoremleri*

*Kai Diethelm: The Analysis of Fractional Differential Equations