Geodesic
Generalized Picone's formula and forced oscillations in quasilinear differential equations of the second order
Archivum mathematicum, Tome 38 (2002) no. 1, pp. 53-59

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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.
Classification : 34C10
Keywords: forced quasilinear differential equation of the second order; nonlinear Picone’s identity; Sturmian comparison thorems 
@article{ARM_2002__38_1_a5,
     author = {Jaro\v{s}, J. and Kusano, T. and Yoshida, N.},
     title = {Generalized {Picone's} formula and forced oscillations in quasilinear differential equations of the second order},
     journal = {Archivum mathematicum},
     pages = {53--59},
     publisher = {mathdoc},
     volume = {38},
     number = {1},
     year = {2002},
     mrnumber = {1899568},
     zbl = {1087.34014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_2002__38_1_a5/}
}
TY  - JOUR
AU  - Jaroš, J.
AU  - Kusano, T.
AU  - Yoshida, N.
TI  - Generalized Picone's formula and forced oscillations in quasilinear differential equations of the second order
JO  - Archivum mathematicum
PY  - 2002
SP  - 53
EP  - 59
VL  - 38
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ARM_2002__38_1_a5/
LA  - en
ID  - ARM_2002__38_1_a5
ER  - 
%0 Journal Article
%A Jaroš, J.
%A Kusano, T.
%A Yoshida, N.
%T Generalized Picone's formula and forced oscillations in quasilinear differential equations of the second order
%J Archivum mathematicum
%D 2002
%P 53-59
%V 38
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ARM_2002__38_1_a5/
%G en
%F ARM_2002__38_1_a5
Jaroš, J.; Kusano, T.; Yoshida, N. Generalized Picone's formula and forced oscillations in quasilinear differential equations of the second order. Archivum mathematicum, Tome 38 (2002) no. 1, pp. 53-59. http://geodesic.mathdoc.fr/item/ARM_2002__38_1_a5/