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@article{1123231,
author = {Cecchi, Mariella and Došlá, Zuzana and Marini, Mauro},
article_location = {Edinburgh},
article_number = {3},
doi = {http://dx.doi.org/10.1017/S0308210511001156},
keywords = {Oscillation; Phi-Laplacian; integral oscillation conditions},
language = {eng},
issn = {0308-2105},
journal = {Proc. Roy. Soc. Edinburgh},
title = {Oscillation of a class of differential equations with generalized phi-Laplacian},
url = {http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=8924889},
volume = {143},
year = {2013}
}
TY - JOUR
ID - 1123231
AU - Cecchi, Mariella - Došlá, Zuzana - Marini, Mauro
PY - 2013
TI - Oscillation of a class of differential equations with generalized phi-Laplacian
JF - Proc. Roy. Soc. Edinburgh
VL - 143
IS - 3
SP - 493-506
EP - 493-506
SN - 03082105
KW - Oscillation
KW - Phi-Laplacian
KW - integral oscillation conditions
UR - http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=8924889
N2 - Oscillation of a certain nonlinear differential equation involving the so called Phi-Laplacian - an increasing odd homeomorphism, is considered. We extend previous results, stated for equations with the classical p-Laplacian, by obtaining necessary and sufficient conditions of integral type for the oscillation. The role of the boundedness of Im Phi [Dom Phi] is analysed in detail. Our results includes the case Phi*(Phi) linear near zero or near infinity, where Phi* is the inverse of Phi. Several examples, concerning the curvature or relativity operator, illustrate our results.
ER -
CECCHI, Mariella, Zuzana DOŠLÁ and Mauro MARINI. Oscillation of a class of differential equations with generalized phi-Laplacian. \textit{Proc. Roy. Soc. Edinburgh}. Edinburgh, 2013, vol.~143, No~3, p.~493-506. ISSN~0308-2105. Available from: https://dx.doi.org/10.1017/S0308210511001156.
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