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

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:299

Article

Ou, LM

关键词: time scales;    Riccati technique;    operator;    oscillation;    non-oscillation;   

DOI  :  10.1016/j.jmaa.2004.06.032

来源: Elsevier

【 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.

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