Multiple periodic solutions of functional differential equations with impulses on time scales

2015 ◽  
Vol 50 (1-2) ◽  
pp. 365-387
Author(s):  
Zhijun Zeng
Keyword(s):  
Differential Equations ◽  
Periodic Solutions ◽  
Time Scales ◽  
Functional Differential Equations ◽  
Multiple Periodic Solutions ◽  
Functional Differential

scholarly journals Multiple Periodic Solutions for a Class of Second-Order Neutral Impulsive Functional Differential Equations

2017 ◽  
Vol 2017 ◽  
pp. 1-5
Author(s):  
Jingli Xie ◽  
Zhiguo Luo ◽  
Yuhua Zeng
Keyword(s):  
Differential Equations ◽  
Variational Methods ◽  
Critical Point ◽  
Periodic Solutions ◽  
Critical Point Theory ◽  
Functional Differential Equations ◽  
Point Theory ◽  
Second Order ◽  
Multiple Periodic Solutions ◽  
Functional Differential

In this paper, we study a class of second-order neutral impulsive functional differential equations. Under certain conditions, we establish the existence of multiple periodic solutions by means of critical point theory and variational methods. We propose an example to illustrate the applicability of our result.

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