A note on oscillation criteria for some perturbed half-linear elliptic equations
Abstract
In this paper, we show if the half-linear part of an equation is oscillatory, so would be some of its related perturbed equations. For one-dimentional cases, it can be resumed as the following: if the half-linear equation P(y) := {a(t)φ(y0)}0+c(t)φ(y) = 0 is oscillatory then any of its perturbed equations P(z)+Q0(t)h(y,y0) = 0 will also be oscillatory whenever Q ∈C1(R) and h ∈C(R2, R).
- Published
- 25 June 2014
- Volume
- 2014 (2014)
- License
- CC BY 3.0
Copyright © 2014 T. Tadie. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
T. Tadie, A note on oscillation criteria for some perturbed half-linear elliptic equations, Eng. Math. Lett. 2014 (2014), 11.
BibTeX
@article{Tadie2014,
author = {Tadie, T.},
title = {A note on oscillation criteria for some perturbed half-linear elliptic equations},
journal = {Eng. Math. Lett.},
volume = {2014},
year = {2014},
pages = {11},
doi = {}
}