scholarly journals New oscillation criteria for first order nonlinear delay differential equations

2000 ◽  
Vol 83 (1) ◽  
pp. 21-41 ◽  
Author(s):  
Xianhua Tang ◽  
Jianhua Shen
Keyword(s):  
Differential Equations ◽  
Delay Differential Equations ◽  
Oscillation Criteria ◽  
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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