Generalized three-point difference schemes of high order of accuracy for nonlinear ordinary differential equations of the second order

2010 ◽  
Vol 167 (1) ◽  
pp. 62-75 ◽  
Author(s):  
L. B. Gnativ ◽  
M. V. Kutniv ◽  
A. I. Chukhrai
Keyword(s):  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Second Order ◽  
High Order ◽  
Difference Schemes ◽  
Nonlinear Ordinary Differential Equations ◽  
Order Of Accuracy ◽  
High Order Of Accuracy

scholarly journals Oscillation criteria for second order differential equations with damping

1990 ◽  
Vol 49 (1) ◽  
pp. 43-54 ◽  
Author(s):  
S. R. Grace
Keyword(s):  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Second Order ◽  
Linear Differential Equations ◽  
Nonlinear Ordinary Differential Equations ◽  
Oscillation Criteria ◽  
Second Order Differential Equations ◽  
Linear Differential

AbstractNew oscillation criteria are given for second order nonlinear ordinary differential equations with alternating coefficients. The results involve a condition obtained by Kamenev for linear differential equations. The obtained criterion for superlinear differential equations is a complement of the work established by Kwong and Wong, and Philos, for sublinear differential equations and by Yan for linear differential equations.

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