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Oscillation constants for second-order ordinary differential equations related to elliptic equations with p-Laplacian

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DOŠLÝ Ondřej YAMAOKA Naoto

Rok publikování 2015
Druh Článek v odborném periodiku
Časopis / Zdroj Nonlinear Analysis
Fakulta / Pracoviště MU

Přírodovědecká fakulta

Citace
www http://www.sciencedirect.com/science/article/pii/S0362546X14003150
Doi http://dx.doi.org/10.1016/j.na.2014.09.025
Obor Obecná matematika
Klíčová slova Oscillation; Half-linear differential equations; Oscillation constant; Riccati technique; Phase plane analysis; Time maps; p-Laplacian
Přiložené soubory
Popis In this paper we consider the second-order nonlinear differential equation equation with sign preserving nonlinearity. We analyze the difference between the values of a certain parameter appearing in he investihated differential equation. In each case we give a condition on the function ff which guarantees that solutions the investigated equation are (non)oscillatory. The principal methods used in this paper are the Riccati technique and its modifications. The results of our paper complement and extend several previously obtained results on the subject.
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