THE CRITERIA FOR OSCILLATION OF TWO-DIMENSIONAL NEUTRAL DELAY DYNAMICAL SYSTEMS ON TIME SCALES
Author:
SUN ZHONGFENG1,
QIN HUIZENG1
Affiliation:
1. Division of Dynamics and Control, School of Mathematics and Statistics, Shandong University of Technology, Zibo, Shandong 255000, P. R. China
Abstract
The neutral delay model has many applications in biology, ecology, man-made neural networks, mechanics and engineering. The main purpose of this paper is to establish new oscillation criteria for the two-dimensional neutral delay dynamical system [Formula: see text] on a time scale [Formula: see text], where [Formula: see text] and [Formula: see text] are positive rd-continuous functions, [Formula: see text], are in accordance with the definition given by S. H. Saker, Oscillation of nonlinear dynamic equations on time scales, Appl. Math. Comput. 148 (2004) 81–91.
Funder
National Natural Science Foundation of China
Young Innovation Teams of Shandong Province
Natural Science Foundation of Shandong Province
Publisher
World Scientific Pub Co Pte Ltd
Subject
Applied Mathematics,Geometry and Topology,Modeling and Simulation