Application of dynamical systems to the study of asymptotic properties of solutions to nonlinear higher-order differential equations

2005 ◽  
Vol 126 (5) ◽  
pp. 1361-1391 ◽  
Author(s):  
I. V. Astashova
Keyword(s):  
Dynamical Systems ◽  
Differential Equations ◽  
Asymptotic Properties ◽  
Higher Order ◽  
Higher Order Differential Equations

scholarly journals Oscillation Results for Higher Order Differential Equations

Axioms ◽  
2020 ◽  
Vol 9 (1) ◽  
pp. 14 ◽  
Author(s):  
Choonkil Park ◽  
Osama Moaaz ◽  
Omar Bazighifan
Keyword(s):  
Differential Equations ◽  
Asymptotic Properties ◽  
Higher Order ◽  
Higher Order Differential Equations

The objective of our research was to study asymptotic properties of the class of higher order differential equations with a p-Laplacian-like operator. Our results supplement and improve some known results obtained in the literature. An illustrative example is provided.

scholarly journals Oscillation Results for Nonlinear Higher-Order Differential Equations with Delay Term

Symmetry ◽  
2021 ◽  
Vol 13 (3) ◽  
pp. 446
Author(s):  
Alanoud Almutairi ◽  
Omar Bazighifan ◽  
Youssef N. Raffoul
Keyword(s):  
Differential Equations ◽  
Nonlinear Differential Equations ◽  
Higher Order ◽  
Middle Term ◽  
Delay Term ◽  
Integral Averaging Technique ◽  
Equations With Delay ◽  
Oscillation Of Solutions ◽  
Comparison Technique ◽  
Higher Order Differential Equations

The aim of this work is to investigate the oscillation of solutions of higher-order nonlinear differential equations with a middle term. By using the integral averaging technique, Riccati transformation technique and comparison technique, several oscillatory properties are presented that unify the results obtained in the literature. Some examples are presented to demonstrate the main results.

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