scholarly journals Asymptotic behavior of even-order damped differential equations with p-Laplacian like operators and deviating arguments

2016 ◽  
Vol 2016 (1) ◽  
Author(s):  
Qingmin Liu ◽  
Martin Bohner ◽  
Said R Grace ◽  
Tongxing Li
Keyword(s):  
Asymptotic Behavior ◽  
Differential Equations ◽  
Deviating Arguments ◽  
Even Order

scholarly journals Asymptotic Behavior of Solutions of Even-Order Advanced Differential Equations

2020 ◽  
Vol 2020 ◽  
pp. 1-7
Author(s):  
Omar Bazighifan ◽  
Hijaz Ahmad
Keyword(s):  
Differential Equation ◽  
Asymptotic Behavior ◽  
Differential Equations ◽  
Second Order ◽  
Asymptotic Behavior Of Solutions ◽  
Qualitative Behavior ◽  
Riccati Transformation ◽  
Even Order ◽  
Second Order Equations

In this paper, we establish the qualitative behavior of the even-order advanced differential equation a υ y κ − 1 υ β ′ + ∑ i = 1 j q i υ g y η i υ = 0 ,   υ ≥ υ 0 . The results obtained are based on the Riccati transformation and the theory of comparison with first- and second-order equations. This new theorem complements and improves a number of results reported in the literature. Two examples are presented to demonstrate the main results.

Oscillation Properties of Even Order Neutral Differential Equations with Deviating Arguments

2000 ◽  
Vol 7 (4) ◽  
pp. 745-752
Author(s):  
Wei Nian Li
Keyword(s):  
Differential Equations ◽  
Sufficient Conditions ◽  
Deviating Arguments ◽  
Neutral Differential Equations ◽  
Even Order ◽  
Oscillation Properties

Abstract Sufficient conditions are established for the oscillation of even order neutral differential equations with deviating arguments of the form where n ≥ 2 is an even integer. These results are illustrated by some examples.

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