scholarly journals Boundary value problem for the second order impulsive delay differential equations

2015 ◽  
Vol 14 (1) ◽  
pp. 27-35
Author(s):  
Lidia Skóra
Keyword(s):  
Differential Equations ◽  
Boundary Value Problem ◽  
Boundary Value ◽  
Functional Differential Equations ◽  
Uniqueness Result ◽  
Second Order ◽  
Impulsive Delay Differential Equations ◽  
Impulsive Delay ◽  
Functional Differential ◽  
Delay Differential

Abstract We present some existence and uniqueness result for a boundary value problem for functional differential equations of second order with impulses at fixed points.

scholarly journals A New Comparison Principle for Impulsive Functional Differential Equations

2015 ◽  
Vol 2015 ◽  
pp. 1-6
Author(s):  
Gang Li ◽  
Weizhong Ling ◽  
Changming Ding
Keyword(s):  
Differential Equations ◽  
Comparison Principle ◽  
Delay Differential Equations ◽  
Functional Differential Equations ◽  
Sufficient Conditions ◽  
Impulsive Differential Systems ◽  
Impulsive Delay Differential Equations ◽  
Impulsive Delay ◽  
Functional Differential ◽  
Delay Differential

We establish a new comparison principle for impulsive differential systems with time delay. Then, using this comparison principle, we obtain some sufficient conditions for several stabilities of impulsive delay differential equations. Finally, we present an example to show the effectiveness of our results.

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