Periodic Solutions of a Second-Order Functional Differential Equation with State-Dependent Argument

2018 ◽  
Vol 15 (6) ◽  
Author(s):  
Hou Yu Zhao ◽  
Jia Liu
Keyword(s):  
Differential Equation ◽  
Periodic Solutions ◽  
Functional Differential Equation ◽  
Second Order ◽  
State Dependent ◽  
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.

scholarly journals Existence of Periodic Solutions to Multidelay Functional Differential Equations of Second Order

2013 ◽  
Vol 2013 ◽  
pp. 1-5 ◽  
Author(s):  
Cemil Tunç ◽  
Ramazan Yazgan
Keyword(s):  
Differential Equation ◽  
Differential Equations ◽  
Periodic Solutions ◽  
Functional Differential Equation ◽  
Functional Differential Equations ◽  
Functional Approach ◽  
Second Order ◽  
Nonlinear Functional ◽  
Existence Of Periodic Solutions ◽  
Functional Differential

Using Lyapunov-Krasovskii functional approach, we establish a new result to guarantee the existence of periodic solutions of a certain multidelay nonlinear functional differential equation of second order. By this work, we extend and improve some earlier result in the literature.

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