Oscillation criteria for two-dimensional dynamic systems on time scales

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:225

Article

Xu, Youjun¹  Xu, Zhiting¹ 

[1] S China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China

关键词: Two-dimensional;    Dynamic systems;    Differential systems;    Difference systems;    Oscillation;    Time scales;   

DOI  :  10.1016/j.cam.2008.06.010

来源: Elsevier

【 摘 要 】

We establish some oscillation criteria for the two-dimensional dynamic system {x(Delta) (t)= b(t)g|y(sigma)(t)|, y(Delta)(t) = -a(t)f|x(t)|, on a time scale T. Our results not only Unify the oscillation of two-dimensional differential systems and difference systems, but include the oscillation results for differential systems and provide new oscillation criteria for difference systems. Several examples are considered to illustrate the main results. Crown Copyright (C) 2008 Published by Elsevier B.V. All rights reserved.

【 授权许可】

Free