Abdi Tadesse (PhD)Wosene Workeneh2018-07-192023-11-042018-07-192023-11-042013-02http://etd.aau.edu.et/handle/123456789/9383In this paper we study some of the non-oscillatory criteria on half- linear di_erential equation of the form (r(t)_(x)+(T)-=0Where (z)=(x)p-z z-p>1 Using modi_ed Riccati technique. In addition to that we are going to see some of the characterization of determining principal solution of half-linear di_erential equationenNon-Oscillation CriteriaOn Half- LinearThesis