scholarly journals Oscillation criteria for a class of third order damped differential equations

2018 ◽  
Vol 24 (1) ◽  
pp. 16-30 ◽  
Author(s):  
Osama Moaaz ◽  
Elmetwally M. Elabbasy ◽  
Ebtesam Shaaban
Keyword(s):  
Differential Equations ◽  
Third Order ◽  
Oscillation Criteria

scholarly journals Oscillation Criteria of Third-Order Nonlinear Impulsive Differential Equations with Delay

2013 ◽  
Vol 2013 ◽  
pp. 1-8
Author(s):  
Xiuxiang Liu
Keyword(s):  
Differential Equations ◽  
Impulsive Differential Equations ◽  
Third Order ◽  
Oscillation Criteria ◽  
Impulsive Equations ◽  
Equations With Delay

This paper deals with the oscillation of third-order nonlinear impulsive equations with delay. The results in this paper improve and extend some results for the equations without impulses. Some examples are given to illustrate the main results.

Oscillation criteria for third-order nonlinear differential equations

2008 ◽  
Vol 58 (2) ◽  
Author(s):  
B. Baculíková ◽  
E. Elabbasy ◽  
S. Saker ◽  
J. Džurina
Keyword(s):  
Differential Equation ◽  
Differential Equations ◽  
Order Differential Equation ◽  
Nonlinear Differential Equations ◽  
Sufficient Conditions ◽  
Third Order ◽  
Oscillation Criteria ◽  
The Third ◽  
Third Order Differential Equation ◽  
Oscillation Properties

AbstractIn this paper, we are concerned with the oscillation properties of the third order differential equation $$ \left( {b(t) \left( {[a(t)x'(t)'} \right)^\gamma } \right)^\prime + q(t)x^\gamma (t) = 0, \gamma > 0 $$. Some new sufficient conditions which insure that every solution oscillates or converges to zero are established. The obtained results extend the results known in the literature for γ = 1. Some examples are considered to illustrate our main results.

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