Advances in Dynamical Systems and Applications

  • Year: 2008
  • Volume: 3
  • Issue: 1

Oscillation of second order neutral delay differential equations

  • Author:
  • L. Erbe, T.S. Hassan1, A. Peterson
  • Total Page Count: 19
  • DOI:
  • Page Number: 53 to 71

Department of Mathematics, University of Nebraska-Lincoln, Lincoln, NE, 68588-0130, USA

Abstract

We present new oscillation criteria for the second order nonlinear neutral delay differential equation where t ≥ t0, τ, and α are positive constants and the functions p, q, a, σ ∈ C ([t0, ∞], ℝ). Our results generalize and improve some known results for oscillation of second order neutral delay differential equations. Our results are illustrated with an example.

Keywords

Nonoscillation, oscillation, second order neutral delay differential equation