A Legendre–Gauss–Radau spectral collocation method for first order nonlinear delay differential equations

CALCOLO ◽  
2015 ◽  
Vol 53 (4) ◽  
pp. 691-721 ◽  
Author(s):  
Lijun Yi ◽  
Zhongqing Wang
Keyword(s):  
Differential Equations ◽  
Collocation Method ◽  
Delay Differential Equations ◽  
Spectral Collocation Method ◽  
Spectral Collocation ◽  
First Order ◽  
Nonlinear Delay Differential Equations ◽  
Delay Differential ◽  
Nonlinear Delay

Oscillatory and monotone solutions of first-order nonlinear delay differential equations

2016 ◽  
Vol 23 (2) ◽  
Author(s):  
Nino Partsvania ◽  
Zaza Sokhadze
Keyword(s):  
Differential Equations ◽  
Delay Differential Equations ◽  
Sufficient Conditions ◽  
First Order ◽  
Kneser Solution ◽  
Nonlinear Delay Differential Equations ◽  
Delay Differential ◽  
Necessary And Sufficient ◽  
Monotone Solutions ◽  
Nonlinear Delay

AbstractFor first order nonlinear delay differential equations, necessary and sufficient conditions are established for the oscillation of all proper solutions as well as for the existence of at least one vanishing at infinity proper Kneser solution.

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