scholarly journals Generalized cauchy problem for hyperbolic functional differential systems

2011 ◽  
Vol 41 (1) ◽  
pp. 205-228
Author(s):  
Zdzisł aw Kamont
Keyword(s):  
Cauchy Problem ◽  
Differential Systems ◽  
Functional Differential Systems ◽  
Functional Differential ◽  
Generalized Cauchy Problem

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.

Sign in / Sign up

Export Citation Format

Share Document