scholarly journals Existence and uniqueness of periodic solutions for a kind of Duffing equation with two deviating arguments

2006 ◽  
Vol 89 (3) ◽  
pp. 247-258
Author(s):  
Bingwen Liu
Keyword(s):  
Periodic Solutions ◽  
Existence And Uniqueness ◽  
Duffing Equation ◽  
Deviating Arguments

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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