Approximate controllability of neutral functional differential systems with state-dependent delay

2016 ◽  
Vol 37 (2) ◽  
pp. 291-308 ◽  
Author(s):  
Xianlong Fu ◽  
Jialin Zhang
Keyword(s):  
Approximate Controllability ◽  
Differential Systems ◽  
State Dependent ◽  
Functional Differential Systems ◽  
State Dependent Delay ◽  
Functional Differential

Approximate controllability of semilinear impulsive functional differential systems with non-local conditions

2020 ◽  
Vol 37 (4) ◽  
pp. 1070-1088 ◽  
Author(s):  
Sumit Arora ◽  
Soniya Singh ◽  
Jaydev Dabas ◽  
Manil T Mohan
Keyword(s):  
Fixed Point ◽  
Hilbert Spaces ◽  
Resolvent Operator ◽  
Approximate Controllability ◽  
Sufficient Conditions ◽  
Differential Systems ◽  
Local Conditions ◽  
Functional Differential Systems ◽  
Non Local ◽  
Functional Differential

Abstract This paper is concerned with the approximate controllability of semilinear impulsive functional differential systems in Hilbert spaces with non-local conditions. We establish sufficient conditions for approximate controllability of such systems via resolvent operator and Schauder’s fixed point theorem. An application involving the impulse effect associated with delay and non-local conditions is presented to verify our claimed results.

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