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

• Autoři: CECCHI Mariella; DOŠLÁ Zuzana; MARINI Mauro
• Rok publikování: 2013
• Druh: Článek v odborném periodiku
• Časopis / Zdroj: Proc. Roy. Soc. Edinburgh
• Fakulta / Pracoviště MU: Přírodovědecká fakulta
• www: http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=8924889
• Doi: https://doi.org/10.1017/S0308210511001156
• Obor: Obecná matematika
• Klíčová slova: Oscillation; Phi-Laplacian; integral oscillation conditions
• Popis: 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.

Související projekty

• Kvalitativní vlastnosti řešení diferenciálních rovnic a jejich aplikace