scholarly journals On Kamenev-Type Oscillation Theorems for Second-Order Differential Equations With Damping

2001 ◽  
Vol 258 (1) ◽  
pp. 244-257 ◽  
Author(s):  
James S.W. Wong
Keyword(s):  
Differential Equations ◽  
Second Order ◽  
Second Order Differential Equations ◽  
Oscillation Theorems ◽  
Type Oscillation

scholarly journals Linearization and Higher Order Nonlinear Oscillation Theorems Using Comparison Methods

2004 ◽  
Vol 11 (1) ◽  
pp. 7-26
Author(s):  
Ravi P. Agarwal ◽  
Said R. Grace ◽  
Donal O'Regan
Keyword(s):  
Differential Equations ◽  
Nonlinear Oscillation ◽  
Nonlinear Differential Equations ◽  
Main Idea ◽  
Higher Order ◽  
Second Order ◽  
Oscillation Criteria ◽  
Second Order Differential Equations ◽  
Comparison Methods ◽  
Oscillation Theorems

Abstract We establish some new oscillation criteria for higher order nonlinear differential equations. The main idea involves comparing our equation with the related linear second order differential equations so that the known oscillation theorems from the literature can be employed directly.

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