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

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Authors

DOŠLÝ Ondřej YAMAOKA Naoto

Year of publication 2015
Type Article in Periodical
Magazine / Source Nonlinear Analysis
MU Faculty or unit

Faculty of Science

Citation
Web http://www.sciencedirect.com/science/article/pii/S0362546X14003150
Doi http://dx.doi.org/10.1016/j.na.2014.09.025
Field General mathematics
Keywords Oscillation; Half-linear differential equations; Oscillation constant; Riccati technique; Phase plane analysis; Time maps; p-Laplacian
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Description 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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