Local null controllability of nonlinear functional differential systems in Banach space

1996 ◽  
Vol 88 (1) ◽  
pp. 61-75 ◽  
Author(s):  
K. Balachandran ◽  
P. Balasubramaniam ◽  
J. P. Dauer
Keyword(s):  
Banach Space ◽  
Null Controllability ◽  
Differential Systems ◽  
Nonlinear Functional ◽  
Functional Differential Systems ◽  
Functional Differential

EXISTENCE AND CONTROLLABILITY RESULTS FOR INFINITE DELAY PARTIAL FUNCTIONAL DIFFERENTIAL SYSTEMS WITH MULTI-VALUED IMPULSES IN BANACH SPACES

2010 ◽  
Vol 03 (04) ◽  
pp. 631-646 ◽  
Author(s):  
Hanwen Ning ◽  
Bing Liu
Keyword(s):  
Banach Space ◽  
Fixed Point ◽  
Fixed Point Theorem ◽  
Banach Spaces ◽  
Point Theorem ◽  
Infinite Delay ◽  
Sufficient Conditions ◽  
Differential Systems ◽  
Functional Differential Systems ◽  
Functional Differential

This paper is concerned with the existence and controllability of solutions for infinite delay functional differential systems with multi-valued impulses in Banach space. Sufficient conditions for the existence are obtained by using a fixed point theorem for multi-valued maps due to Dhage. An example is also given to illustrate our results.

scholarly journals Solvability of discontinuous functional differential systems in l∞(M)

2006 ◽  
Vol 48 (2) ◽  
pp. 237-243
Author(s):  
A. Cabada ◽  
J. Ángel Cid ◽  
S. Heikkilä
Keyword(s):  
Banach Space ◽  
Differential Equations ◽  
Infinite System ◽  
Functional Differential Equations ◽  
Extremal Solutions ◽  
Differential Systems ◽  
First Order ◽  
Functional Differential Systems ◽  
Bounded Functions ◽  
Functional Differential

AbstractWe study the existence of extremal solutions for an infinite system of first-order discontinuous functional differential equations in the Banach space of the bounded functions I∞(M).

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