scholarly journals Stability criteria for certain high odd order delay differential equations

2007 ◽  
Vol 200 (1) ◽  
pp. 408-423 ◽  
Author(s):  
Baruch Cahlon ◽  
Darrell Schmidt
Keyword(s):  
Differential Equations ◽  
Delay Differential Equations ◽  
Stability Criteria ◽  
Odd Order ◽  
Delay Differential

scholarly journals Oscillatory Properties of Odd-Order Delay Differential Equations with Distribution Deviating Arguments

2020 ◽  
Vol 10 (17) ◽  
pp. 5952
Author(s):  
Ali Muhib ◽  
Thabet Abdeljawad ◽  
Osama Moaaz ◽  
Elmetwally M. Elabbasy
Keyword(s):  
Differential Equations ◽  
Delay Differential Equations ◽  
Comparison Theorems ◽  
Iterative Technique ◽  
Deviating Arguments ◽  
First Order ◽  
Odd Order ◽  
All Solutions ◽  
Delay Differential ◽  
New Criteria

Throughout this work, new criteria for the asymptotic behavior and oscillation of a class of odd-order delay differential equations with distributed deviating arguments are established. Our method is essentially based on establishing sharper estimates for positive solutions of the studied equation, using an iterative technique. Moreover, the iterative technique allows us to test the oscillation, even when the related results fail to apply. By establishing new comparison theorems that compare the nth-order equations with one or a couple of first-order delay differential equations, we obtain new conditions for oscillation of all solutions of the studied equation. To show the importance of our results, we provide two examples.

scholarly journals Odd-order differential equations with deviating arguments: asymptomatic behavior and oscillation

2021 ◽  
Vol 19 (2) ◽  
pp. 1411-1425
Author(s):  
A. Muhib ◽  
◽  
I. Dassios ◽  
D. Baleanu ◽  
S. S. Santra ◽  
...  
Keyword(s):  
Differential Equations ◽  
Delay Differential Equations ◽  
Oscillatory Behavior ◽  
Deviating Arguments ◽  
Odd Order ◽  
Even Order ◽  
Delay Differential

<abstract><p>Despite the growing interest in studying the oscillatory behavior of delay differential equations of even-order, odd-order equations have received less attention. In this work, we are interested in studying the oscillatory behavior of two classes of odd-order equations with deviating arguments. We get more than one criterion to check the oscillation in different methods. Our results are an extension and complement to some results published in the literature.</p></abstract>

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