scholarly journals Asymptotic behavior of solutions of second order quasilinear differential equations with delay depending on the unknown function

2006 ◽  
Vol 185 (1) ◽  
pp. 133-143 ◽  
Author(s):  
Jiaowan Luo
Keyword(s):  
Asymptotic Behavior ◽  
Differential Equations ◽  
Unknown Function ◽  
Second Order ◽  
Asymptotic Behavior Of Solutions ◽  
Equations With Delay

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.

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