On Separation, Comparison and Oscillation Theorems for Self-Adjoint Systems of Linear Second Order Differential Equations

1931 ◽  
Vol 53 (4) ◽  
pp. 781 ◽  
Author(s):  
G. A. Bliss ◽  
I. J. Schoenberg
Keyword(s):  
Differential Equations ◽  
Second Order ◽  
Adjoint Systems ◽  
Second Order Differential Equations ◽  
Oscillation Theorems

Oscillation Theorems for Nonlinear Second Order Differential Equations with a Nonlinear Damping Term

1984 ◽  
Vol 15 (6) ◽  
pp. 1082-1093 ◽  
Author(s):  
S. R. Grace ◽  
B. S. Lalli ◽  
C. C. Yeh
Keyword(s):  
Differential Equations ◽  
Nonlinear Damping ◽  
Second Order ◽  
Damping Term ◽  
Second Order Differential Equations ◽  
Oscillation Theorems

scholarly journals Oscillation theorems for second order differential equations with retarded argument

1974 ◽  
Vol 50 (5-6) ◽  
pp. 342-346 ◽  
Author(s):  
Takaŝi Kusano ◽  
Hiroshi Onose
Keyword(s):  
Differential Equations ◽  
Second Order ◽  
Retarded Argument ◽  
Second Order Differential Equations ◽  
Oscillation Theorems

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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