scholarly journals Legendre collocation method for solving a class of the second order nonlinear differential equations with the mixed non-linear conditions

2016 ◽  
Vol 4 (2) ◽  
pp. 257-257
Author(s):  
Salih Yalcinbas ◽  
Tugce Ulu
Keyword(s):  
Differential Equations ◽  
Collocation Method ◽  
Nonlinear Differential Equations ◽  
Second Order ◽  
Non Linear ◽  
Legendre Collocation Method

scholarly journals Non-Linear Neutral Differential Equations with Damping: Oscillation of Solutions

Symmetry ◽  
2021 ◽  
Vol 13 (2) ◽  
pp. 285
Author(s):  
Saad Althobati ◽  
Jehad Alzabut ◽  
Omar Bazighifan
Keyword(s):  
Differential Equations ◽  
Oscillatory Behavior ◽  
Order Equation ◽  
Second Order ◽  
Riccati Technique ◽  
Neutral Equations ◽  
Neutral Differential Equations ◽  
Main Equation ◽  
Non Linear ◽  
Even Order

The oscillation of non-linear neutral equations contributes to many applications, such as torsional oscillations, which have been observed during earthquakes. These oscillations are generally caused by the asymmetry of the structures. The objective of this work is to establish new oscillation criteria for a class of nonlinear even-order differential equations with damping. We employ different approach based on using Riccati technique to reduce the main equation into a second order equation and then comparing with a second order equation whose oscillatory behavior is known. The new conditions complement several results in the literature. Furthermore, examining the validity of the proposed criteria has been demonstrated via particular examples.

Sign in / Sign up

Export Citation Format

Share Document