Linearization technique for oscillation of perturbed half-linear differential equations

Manabu Naito

Address: Department of Mathematics, Faculty of Science, Ehime University, Matsuyama 790-8577, Japan

Abstract: It is shown that oscillation of perturbed second order half-linear differential equations can be derived from oscillation of second order linear differential equations associated with modified Riccati equations. In the main result of the present paper, some of technical assumptions in the known results of this type are removed.

AMSclassification: primary 34C10.

Keywords: half-linear differential equation, oscillation, modified Riccati equation.

DOI: 10.5817/AM2025-1-43