Open AccessTHE CRITERIA FOR OSCILLATION OF TWO-DIMENSIONAL NEUTRAL DELAY DYNAMICAL SYSTEMS ON TIME SCALES
Author(s) -
Zhongfeng Sun,
Huizeng Qin
Publication year - 2022
Publication title -
fractals
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.654
H-Index - 44
eISSN - 1793-6543
pISSN - 0218-348X
DOI - 10.1142/s0218348x22400527
Subject(s) - oscillation (cell signaling) , dynamical systems theory , nonlinear system , scale (ratio) , statistical physics , mathematics , dynamic equation , dynamical system (definition) , computer science , physics , quantum mechanics , biology , genetics
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.