scholarly journals Renormalization group second-order approximation for singularly perturbed nonlinear ordinary differential equations

2018 ◽  
Vol 41 (14) ◽  
pp. 5691-5710 ◽  
Author(s):  
Anna Marciniak-Czochra ◽  
Andro Mikelić ◽  
Thomas Stiehl
Keyword(s):  
Renormalization Group ◽  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Order Approximation ◽  
Second Order ◽  
Singularly Perturbed ◽  
Nonlinear Ordinary Differential Equations ◽  
Second Order Approximation

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.

scholarly journals Quasi–additive solutions of nonlinear differential equations II

1988 ◽  
Vol 38 (1) ◽  
pp. 19-21 ◽  
Author(s):  
A.S. Jones
Keyword(s):  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Nonlinear Differential Equations ◽  
Second Order ◽  
Nonlinear Ordinary Differential Equations

In a previous paper, the author sought to classify those solutions of second order nonlinear ordinary differential equations which can be expressed as sums of solutions of related equations. In that paper one sub-class of solutions was overlooked. This paper is to remedy that defect.

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