A note on oscillation criteria for some perturbed half-linear elliptic equations

T. Tadie

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).

Full Text: PDF

Published: 2014-06-25

How to Cite this Article:

T. Tadie, A note on oscillation criteria for some perturbed half-linear elliptic equations, Eng. Math. Lett., 2014 (2014), Article ID 11

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.

Engineering Mathematics Letters

ISSN 2049-9337

Editorial Office: [email protected]

Copyright ©2024 SCIK Publishing Corporation