scholarly journals Viability result for semilinear functional differential inclusions in Banach spaces

2021 ◽  
Vol 13 (2) ◽  
pp. 395-404
Author(s):  
M. Aitalioubrahim
Keyword(s):  
Banach Spaces ◽  
Differential Inclusion ◽  
Mild Solution ◽  
Differential Inclusions ◽  
Existence Result ◽  
Linear Operators ◽  
Functional Differential Inclusion ◽  
Functional Differential ◽  
Functional Differential Inclusions

We show the existence result of a mild solution for a semilinear functional differential inclusion, with viability, governed by a family of linear operators. We consider the case when the constraint is moving.

scholarly journals Existence of mild solutions of second-order neutral functional differential inclusions with nonlocal conditions in Banach spaces

2004 ◽  
Vol 2004 (22) ◽  
pp. 1133-1149
Author(s):  
S. Marshal Anthoni ◽  
J.-H. Kim ◽  
J. P. Dauer
Keyword(s):  
Banach Spaces ◽  
Mild Solutions ◽  
Nonlocal Conditions ◽  
Second Order ◽  
Linear Operators ◽  
Bounded Linear ◽  
Cosine Families ◽  
Functional Differential ◽  
Functional Differential Inclusions ◽  
Condensing Maps

We study the existence of mild solutions of the nonlinear second-order neutral functional differential and integrodifferential inclusions with nonlocal conditions in Banach spaces. The results are obtained by using the theory of strongly continuous cosine families of bounded linear operators and a fixed point theorem for condensing maps due to Martelli.

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