Oscillation of a class of differential equations with generalized phi-Laplacian

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F13%3A00066375" target="_blank" >RIV/00216224:14310/13:00066375 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1017/S0308210511001156" target="_blank" >http://dx.doi.org/10.1017/S0308210511001156</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1017/S0308210511001156" target="_blank" >10.1017/S0308210511001156</a>

Result language
angličtina
Original language name
Oscillation of a class of differential equations with generalized phi-Laplacian
Original language description
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.
Czech name
—
Czech description
—

Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—

Project
<a href="/en/project/GAP201%2F11%2F0768" target="_blank" >GAP201/11/0768: Qualitative properties of solutions of differential equations and their applications</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Similar results(10)