Existence and global attractivity of a positive periodic solution of a class of delay differential equation

1998 ◽  
Vol 41 (3) ◽  
pp. 273-284 ◽  
Author(s):  
Yongkun Li
Keyword(s):  
Differential Equation ◽  
Periodic Solution ◽  
Delay Differential Equation ◽  
Global Attractivity ◽  
Positive Periodic Solution ◽  
Delay Differential

PERIODIC SOLUTION FOR GENERALIZED HIGH-ORDER DELAY DIFFERENTIAL EQUATIONS

2010 ◽  
Vol 03 (01) ◽  
pp. 31-43
Author(s):  
Zhibo Cheng ◽  
Jingli Ren ◽  
Stefan Siegmund
Keyword(s):  
Differential Equation ◽  
Periodic Solution ◽  
Differential Equations ◽  
Periodic Solutions ◽  
Delay Differential Equation ◽  
Delay Differential Equations ◽  
Sufficient Conditions ◽  
Existence Of Periodic Solutions ◽  
Delay Differential ◽  
New Inequalities

In this paper we consider a generalized n-th order delay differential equation, by applying Mawhin's continuation theory and some new inequalities, we obtain sufficient conditions for the existence of periodic solutions. Moreover, an example is given to illustrate the results.

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