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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 a Mauro MARINI. Oscillation of a class of differential equations with generalized phi-Laplacian. \textit{Proc. Roy. Soc. Edinburgh}. Edinburgh, 2013, roč.~143, č.~3, s.~493-506. ISSN~0308-2105. Dostupné z: https://dx.doi.org/10.1017/S0308210511001156.
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