scholarly journals Oscillation criteria for second-order nonlinear neutral dynamic equations with distributed deviating arguments on time scales

2013 ◽  
Vol 2013 (1) ◽  
Author(s):  
Tuncay Candan
Keyword(s):  
Time Scales ◽  
Second Order ◽  
Dynamic Equations ◽  
Deviating Arguments ◽  
Oscillation Criteria ◽  
Distributed Deviating Arguments ◽  
Neutral Dynamic Equations

scholarly journals Oscillation Criteria for Third-Order Nonlinear Neutral Dynamic Equations with Mixed Deviating Arguments on Time Scales

Mathematics ◽  
2021 ◽  
Vol 9 (5) ◽  
pp. 552
Author(s):  
Zhiyu Zhang ◽  
Ruihua Feng ◽  
Irena Jadlovská ◽  
Qingmin Liu
Keyword(s):  
Asymptotic Behavior ◽  
Time Scales ◽  
Dynamic Equations ◽  
Asymptotic Behavior Of Solutions ◽  
Riccati Transformation ◽  
Third Order ◽  
Deviating Arguments ◽  
Oscillation Criteria ◽  
Inequality Technique ◽  
Neutral Dynamic Equations

Under a couple of canonical and mixed canonical-noncanonical conditions, we investigate the oscillation and asymptotic behavior of solutions to a class of third-order nonlinear neutral dynamic equations with mixed deviating arguments on time scales. By means of the double Riccati transformation and the inequality technique, new oscillation criteria are established, which improve and generalize related results in the literature. Several examples are given to illustrate the main results.

scholarly journals A note on "oscillation criteria for second-order nonlinear neutral dynamic equations on time scales

2015 ◽  
Vol 46 (4) ◽  
pp. 435-439
Author(s):  
Hassan Ahmed Hassan Agwa ◽  
Ahmed Mohamed Mohamed Khodier ◽  
Mahmoud Haman Osman Salm
Keyword(s):  
Time Scales ◽  
Second Order ◽  
Dynamic Equations ◽  
Oscillation Criteria ◽  
Counter Example ◽  
Correct Formula ◽  
Neutral Dynamic Equations

In this work, we give a counter example for the main result of the paper \small[Tamkang J. of Math., 43 (1)(2012), 109--122.] and we give the correct formula for some theorems given in their work.

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