Abstract
The article deals with the sufficient conditions for the approximate controllability for the impulsive semilinear control systems. We have considered two different sets of sufficient conditions. In the first set, we derived the results by applying the theories related to the compactness of semigroup and Schauder's fixed point theorem. In the second set, we derived the results by applying Gronwall's inequality and avoids the use of fixed point theorem and compactness of semigroup. Under suitable assumptions, the discussion on the existence and uniqueness of the impulsive system is also proved. We have also included an example for the validation of theoretical results.
Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
