Oscillation of third-order neutral differential equations
The objective of this paper is to study asymptotic properties of the couple of third-order neutral differential equations [a(t)([x(t) +/- p(t)x(delta(t))]'')(gamma)]' + q(t)x(gamma) (tau(t)) = 0, t >= t(0,) (E(+/-)) where a(t), q(t), p(t) are positive functions, gamma > 0 is a quotient of odd positive integers and tau(t) <= t, delta(t) <= t. We will establish some sufficient conditions which ensure that all nonoscillatory solutions of (E(+/-)) converge to zero. Some examples are considered to illustrate the main results. (C) 2010 Elsevier Ltd. All rights reserved.
oscillation third-order neutral differential equations nonoscillation