Oscillatory behavior of third-order nonlinear delay dynamic equations on time scales

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:256

Article

Gao, Li¹  Zhang, Quanxin¹  Liu, Shouhua¹ 

[1] Binzhou Univ, Dept Math & Informat Sci, Binzhou 256603, Shandong, Peoples R China

关键词: Oscillatory behavior;    Third order;    Dynamic equation;    Generalized Riccati transformation;    Time scale;   

DOI  :  10.1016/j.cam.2013.07.024

来源: Elsevier

【 摘 要 】

In this paper, a class of third-order nonlinear delay dynamic equations on time scales is studied. By using the generalized Riccati transformation and the integral averaging technique, three new sufficient conditions which ensure that every solution is oscillatory or converges to zero are established. The results obtained essentially generalize and improve earlier ones. (C) 2013 Elsevier B.V. All rights reserved.

【 授权许可】

Free