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Generalized Picone's formula and forced oscillations in quasilinear differential equations of the second order

Jaroslav JarošTakaŝi KusanoN. Yoshida — 2002

Archivum Mathematicum

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.

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