Oscillation of second order neutral delay differential equations of Emden-Fowler type

S. Saker

doi:10.1023/a:1024699900047

Jump to Content Jump to Main Navigation

Acta Mathematica Hungarica

Volume/Issue:: Volume 100: Issue 1-2

Oscillation of second order neutral delay differential equations of Emden-Fowler type

Author: S. Saker¹

View More View Less

¹ Mansoura University Mathematics Department, Faculty of Science Mansoura 35516 Egypt Mansoura 35516 Egypt

DOI:: https://doi.org/10.1023/a:1024699900047

Page Count:: 37–62

Publication Date:: 01 Jul 2003

Online Publication Date:: 03 Nov 2004

Article Category:: Research Article

Restricted access

Check for updates

Abstract

We present new oscillation criteria for the second order nonlinear neutral delay differential equation [y(t)-py(t-τ)]''+ q(t)y^λ(g(t)) sgn y(g(t)) = 0, t ≧ t₀. Our results solve an open problem posed by James S.W . Wong [24]. The relevance of our results becomes clear due to a carefully selected example.