Existence and uniqueness of periodic solutions to certain third-order non-autonomous neutral functional differential equation

2021 ◽  
Vol 9 (1) ◽  
pp. 77-101
Author(s):  
A. S. Motlaq ◽  
E. M. Elsayed
Keyword(s):  
Differential Equation ◽  
Periodic Solutions ◽  
Functional Differential Equation ◽  
Existence And Uniqueness ◽  
Neutral Functional Differential Equation ◽  
Third Order ◽  
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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