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

2014 ◽  
Vol 256 ◽  
pp. 104-113 ◽  
Author(s):  
Li Gao ◽  
Quanxin Zhang ◽  
Shouhua Liu
Keyword(s):  
Time Scales ◽  
Oscillatory Behavior ◽  
Dynamic Equations ◽  
Third Order ◽  
Delay Dynamic Equations ◽  
Nonlinear Delay

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

2014 ◽  
Vol 2014 ◽  
pp. 1-11
Author(s):  
Li Gao ◽  
Quanxin Zhang ◽  
Shouhua Liu
Keyword(s):  
Time Scales ◽  
Sufficient Conditions ◽  
Oscillatory Behavior ◽  
Dynamic Equations ◽  
Riccati Transformation ◽  
Third Order ◽  
Generalized Riccati Transformation ◽  
Delay Dynamic Equations ◽  
Inequality Technique ◽  
Nonlinear Delay

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.

scholarly journals Oscillation criteria for third order nonlinear delay dynamic equations on time scales

2010 ◽  
Vol 99 (2) ◽  
pp. 143-156 ◽  
Author(s):  
Zhenlai Han ◽  
Tongxing Li ◽  
Shurong Sun ◽  
Fengjuan Cao
Keyword(s):  
Time Scales ◽  
Dynamic Equations ◽  
Third Order ◽  
Oscillation Criteria ◽  
Delay Dynamic Equations ◽  
Nonlinear Delay

Oscillation for Third-Order Nonlinear Delay Dynamic Equations on Time Scales

2013 ◽  
Vol 475-476 ◽  
pp. 1578-1582
Author(s):  
Shou Hua Liu ◽  
Quan Xin Zhang ◽  
Li Gao
Keyword(s):  
Time Scales ◽  
Sufficient Conditions ◽  
Dynamic Equations ◽  
Riccati Transformation ◽  
Neutral Delay ◽  
Third Order ◽  
Generalized Riccati Transformation ◽  
Delay Dynamic Equations ◽  
Inequality Technique ◽  
Nonlinear Delay

The oscillation for certain third-order nonlinear neutral delay dynamic equations on time scales is discussed in this article. By using the generalized Riccati transformation and the inequality technique, three new different sufficient conditions which ensure that every solution is oscillatory or converges to zero are established. The results obtained essentially generalize and improve earlier ones.

Oscillation criteria for higher order nonlinear delay dynamic equations on time scales

2016 ◽  
Vol 66 (3) ◽  
Author(s):  
Xin Wu ◽  
Taixiang Sun
Keyword(s):  
Time Scales ◽  
Dynamic Equation ◽  
Time Scale ◽  
Higher Order ◽  
Dynamic Equations ◽  
Oscillation Criteria ◽  
Arbitrary Time ◽  
Delay Dynamic Equation ◽  
Delay Dynamic Equations ◽  
Nonlinear Delay

AbstractIn this paper, we study the oscillation criteria of the following higher order nonlinear delay dynamic equationon an arbitrary time scalewith

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