T. Kusano, Department of Applied Mathematics, Faculty of Science, Fukuoka University, Fukuoka, 814-0180, JAPAN
N. Yoshida, Department of Mathematics, Faculty of Science, Toyama University, Toyama, 930-8555, JAPAN
Abstract. In the paper a comparison theory of Sturm-Picone type is developed for the pair of nonlinear second-order ordinary differential equations first of which is the quasilinear differential equation with an oscillatory forcing term and the second is the so-called half-linear differential equation. Use is made of a new nonlinear version of the Picone's formula.
AMSclassification. 34C10 .
Keywords. Forced quasilinear differential equation of the second order, nonlinear Picone's identity, Sturmian comparison thorems