ASYMPTOTIC BEHAVIOR OF SOLUTIONS OF SECOND ORDER NONLINEAR ELLIPTIC DIFFERENTIAL EQUATIONS

2001 ◽  
Vol 21 (1) ◽  
pp. 131-136
Author(s):  
Zhiting Xu
Keyword(s):  
Asymptotic Behavior ◽  
Differential Equations ◽  
Second Order ◽  
Asymptotic Behavior Of Solutions ◽  
Nonlinear Elliptic ◽  
Elliptic Differential Equations

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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