Detailed Information on Publication Record
2013
Oscillation of a class of differential equations with generalized phi-Laplacian
CECCHI, Mariella, Zuzana DOŠLÁ and Mauro MARINIBasic information
Original name
Oscillation of a class of differential equations with generalized phi-Laplacian
Authors
CECCHI, Mariella (380 Italy), Zuzana DOŠLÁ (203 Czech Republic, guarantor, belonging to the institution) and Mauro MARINI (380 Italy)
Edition
Proc. Roy. Soc. Edinburgh, Edinburgh, 2013, 0308-2105
Other information
Language
English
Type of outcome
Článek v odborném periodiku
Field of Study
10101 Pure mathematics
Country of publisher
United Kingdom of Great Britain and Northern Ireland
Confidentiality degree
není předmětem státního či obchodního tajemství
References:
Impact factor
Impact factor: 0.777
RIV identification code
RIV/00216224:14310/13:00066375
Organization unit
Faculty of Science
UT WoS
000324527800003
Keywords in English
Oscillation; Phi-Laplacian; integral oscillation conditions
Změněno: 8/4/2014 15:20, Ing. Andrea Mikešková
Abstract
V originále
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.
Links
| GAP201/11/0768, research and development project |
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