New Oscillation Results of Second-Order Mixed Nonlinear Neutral Dynamic Equations with Damping on Time Scales

2017 ◽  
Vol 5 (2) ◽  
pp. 137-145
Author(s):  
H. A. Agwa ◽  
Ahmed M. M. Khodier ◽  
Heba M. Arafa
Keyword(s):  
Time Scales ◽  
Second Order ◽  
Dynamic Equations ◽  
Neutral Dynamic Equations

scholarly journals Existence of positive solutions for second-order nonlinear neutral dynamic equations on time scales

2021 ◽  
Vol 7 (1) ◽  
pp. 20-29
Author(s):  
Faycal Bouchelaghem ◽  
Abdelouaheb Ardjouni ◽  
Ahcene Djoudi
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Positive Solutions ◽  
Time Scales ◽  
Point Theorem ◽  
Main Tool ◽  
Second Order ◽  
Dynamic Equations ◽  
Existence Of Positive Solutions ◽  
Neutral Dynamic Equations

AbstractIn this article we study the existence of positive solutions for second-order nonlinear neutral dynamic equations on time scales. The main tool employed here is Schauder’s fixed point theorem. The results obtained here extend the work of Culakova, Hanustiakova and Olach [12]. Two examples are also given to illustrate this work.

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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