Atkinson's super-linear oscillation theorem for matrix dynamic equations on a time scale

[摘要] By applying the Riccati technique and operator theory, we establish on a time scale T both 2 oscillation and non-oscillation criteria for Atkinson's super-linear matrix dynamic equation X-Delta2 + [X-m (t)Q(t)X*(m)(t)](sigma) X-sigma (t) = 0. These results extend and unify earlier results for the differential and difference equation case. (C) 2004 Elsevier Inc. All rights reserved.

[发布日期] 2004-11-15

[关键词] time scales;Riccati technique;operator;oscillation;non-oscillation