Periodic Solutions to a Kind of Second Order Neutral Functional Differential Equation in the Critical Case

2005 ◽  
Vol 21 (5) ◽  
pp. 1149-1158 ◽  
Author(s):  
Shi Ping Lu ◽  
Wei Gao Ge ◽  
Zu Xiu Zheng
Keyword(s):  
Differential Equation ◽  
Periodic Solutions ◽  
Functional Differential Equation ◽  
Critical Case ◽  
Second Order ◽  
Neutral Functional Differential Equation ◽  
Functional Differential

scholarly journals Existence and Uniqueness of Periodic Solutions for a Kind of Second-Order Neutral Functional Differential Equation with Delays

2017 ◽  
Vol 2017 ◽  
pp. 1-7
Author(s):  
Na Wang
Keyword(s):  
Differential Equation ◽  
Periodic Solutions ◽  
Functional Differential Equation ◽  
Existence And Uniqueness ◽  
Coincidence Degree ◽  
Second Order ◽  
Neutral Functional Differential Equation ◽  
Deviating Arguments ◽  
Functional Differential

We consider a kind of second-order neutral functional differential equation. On the basis of Mawhin’s coincidence degree, the existence and uniqueness of periodic solutions are proved. It is indicated that the result is related to the deviating arguments. Moreover, we present two simulations to demonstrate the validity of analytical conclusion.

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