scholarly journals Oscillatory behavior of second order delay dynamic equations with a sub-linear neutral term on time scales

2021 ◽  
Vol 24 (02) ◽  
pp. 97-109
Author(s):  
A. A. Soliman ◽  
A. M. Hassan ◽  
S. E. Affan
Keyword(s):  
Time Scales ◽  
Oscillatory Behavior ◽  
Second Order ◽  
Dynamic Equations ◽  
Neutral Term ◽  
Delay Dynamic Equations

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 of Second-Order Mixed Neutral Delay Dynamic Equations on Time Scales

2018 ◽  
Vol 228 ◽  
pp. 01006
Author(s):  
L M Feng ◽  
Y G Zhao ◽  
Y L Shi ◽  
Z L Han
Keyword(s):  
Time Scales ◽  
Dynamic Equation ◽  
Second Order ◽  
Dynamic Equations ◽  
Neutral Delay ◽  
Oscillation Criteria ◽  
Neutral Dynamic Equation ◽  
Delay Dynamic Equations ◽  
Oscillation Theorems

In this artical, we consider a second-order neutral dynamic equation on a time scales. A number of oscillation theorems are shown that supplement and extend some known results in the eassay.

scholarly journals Oscillation Theorems for Second-Order Half-Linear Neutral Delay Dynamic Equations with Damping on Time Scales

2014 ◽  
Vol 2014 ◽  
pp. 1-12
Author(s):  
Quanxin Zhang ◽  
Shouhua Liu
Keyword(s):  
Time Scales ◽  
Second Order ◽  
Dynamic Equations ◽  
Riccati Transformation ◽  
Neutral Delay ◽  
Oscillation Criteria ◽  
Generalized Riccati Transformation ◽  
Delay Dynamic Equations ◽  
Inequality Technique ◽  
Oscillation Theorems

We establish the oscillation criteria of Philos type for second-order half-linear neutral delay dynamic equations with damping on time scales by the generalized Riccati transformation and inequality technique. Our results are new even in the continuous and the discrete cases.

scholarly journals Oscillatory Behavior of Quasilinear Neutral Delay Dynamic Equations on Time Scales

2010 ◽  
Vol 2010 ◽  
pp. 1-25 ◽  
Author(s):  
Zhenlai Han ◽  
Shurong Sun ◽  
Tongxing Li ◽  
Chenghui Zhang
Keyword(s):  
Time Scales ◽  
Oscillatory Behavior ◽  
Dynamic Equations ◽  
Neutral Delay ◽  
Delay Dynamic Equations

scholarly journals Oscillation for Second-Order Nonlinear Delay Dynamic Equations on Time Scales

2009 ◽  
Vol 2009 ◽  
pp. 1-13 ◽  
Author(s):  
Zhenlai Han ◽  
Tongxing Li ◽  
Shurong Sun ◽  
Chenghui Zhang
Keyword(s):  
Time Scales ◽  
Second Order ◽  
Dynamic Equations ◽  
Delay Dynamic Equations ◽  
Nonlinear Delay
Sign in / Sign up

Export Citation Format

Share Document