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.
@article{107819,
author = {Jaroslav Jaro\v s and Taka\^si Kusano and N. Yoshida},
title = {Generalized Picone's formula and forced oscillations in quasilinear differential equations of the second order},
journal = {Archivum Mathematicum},
volume = {038},
year = {2002},
pages = {53-59},
zbl = {1087.34014},
mrnumber = {1899568},
language = {en},
url = {http://dml.mathdoc.fr/item/107819}
}
Jaroš, Jaroslav; Kusano, Takaŝi; Yoshida, N. Generalized Picone's formula and forced oscillations in quasilinear differential equations of the second order. Archivum Mathematicum, Tome 038 (2002) pp. 53-59. http://gdmltest.u-ga.fr/item/107819/
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