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Keywords:
forced quasilinear differential equation of the second order; nonlinear Picone’s identity; Sturmian comparison thorems
forced quasilinear differential equation of the second order; nonlinear Picone’s identity; Sturmian comparison thorems
Summary:
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.
References:
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