New Oscillatory Behavior of Third-Order Nonlinear Delay Dynamic Equations on Time Scales

A class of third-order nonlinear delay dynamic equations on time scales is studied. By using the generalized Riccati transformation and the inequality technique, four new sufficient conditions which ensure that every solution is oscillatory or converges to zero are established. The results obtained...

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Bibliographic Details
Published in:Abstract and Applied Analysis 2014-01, Vol.2014 (2014), p.543-553-1557
Main Authors: Gao, Li, Liu, Shouhua, Zhang, Quanxin
Format: Article
Language:English
Subjects:
Consumption function
Delay equations
Differential equations
Differential equations, Nonlinear
Dynamical systems
Flexible manufacturing systems
Mathematical research
Programmable logic controllers
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Summary:A class of third-order nonlinear delay dynamic equations on time scales is studied. By using the generalized Riccati transformation and the inequality technique, four new sufficient conditions which ensure that every solution is oscillatory or converges to zero are established. The results obtained essentially improve earlier ones. Some examples are considered to illustrate the main results.
ISSN:1085-3375
1687-0409
DOI:10.1155/2014/914264