A remark on power comparison theorem for half-linear differential equations. (English) Zbl 1199.34168

Bognár, Gabriella; Došlý, Ondřej

Math. Bohem. 133, No. 2, 187-195 (2008).

Summary: We consider a half-linear second order differential equation which can be viewed as a perturbation of the so-called Riemann-Weber half-linear differential equation. We present a comparison theorem with respect to the power of the half-linearity in the equation under consideration. Our research is motivated by recent results published by J. Sugie and N. Yamaoka [Acta Math. Hung. 111, No. 1–2, 165–179 (2006; Zbl 1116.34030)].

MSC:

34C10

Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations

Keywords:

Riemann-Weber half-linear equation; Riccati technique; power comparison theorem; perturbation principle; principal solution

Citations:

Zbl 1116.34030