Title: Oscillation Results for Second Order Nonlinear Differential Equation with Delay and Advanced Arguments.
Authors: THANDAPANI, ETHIRAJU; SELVARANGAM, SRINIVASAN; VIJAYA, MURUGESAN; RAMA, RENU
Abstract: In this paper we study the oscillation criteria for the second order nonlinear differential equation with delay and advanced arguments of the form ([x(t) a(t)x(t - σ1) b(t)x(t σ2)]α)'' q(t)xβ(t - τ1) p(t)xγ(t τ2) = 0, t ≥ t0 where σ1, σ2, τ1 and τ2 are nonnegative constants and α, β and γ are the ratios of odd positive integers. Examples are provided to illustrate the main results.
Subjects: OSCILLATIONS; NONLINEAR differential equations; NONNEGATIVE matrices; RATIO & proportion; INTEGERS; MATHEMATICAL models
Publication: Kyungpook Mathematical Journal, 2016, Vol 56, Issue 1, p137
ISSN: 1225-6951
Publication type: Academic Journal
DOI: 10.5666/KMJ.2016.56.1.137

Oscillation Results for Second Order Nonlinear Differential Equation with Delay and Advanced Arguments.

THANDAPANI, ETHIRAJU; SELVARANGAM, SRINIVASAN; VIJAYA, MURUGESAN; RAMA, RENU