An existence result for impulsive functional differential inclusions in Banach spaces

2004 ◽  
Vol 24 (1) ◽  
pp. 13 ◽  
Author(s):  
Irene Benedetti
Keyword(s):  
Banach Spaces ◽  
Differential Inclusions ◽  
Existence Result ◽  
Functional Differential ◽  
Functional Differential Inclusions

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.

New Stability Results for Partial Fractional Differential Inclusions with Not Instantaneous Impulses

2015 ◽  
Vol 18 (1) ◽  
Author(s):  
Saïd Abbas ◽  
Mouffak Benchohra ◽  
Mohamed Abdalla Darwish
Keyword(s):  
Banach Spaces ◽  
Differential Inclusions ◽  
Fractional Differential Inclusions ◽  
Right Hand ◽  
Fractional Differential ◽  
Functional Differential ◽  
Ulam’S Type Stability ◽  
Functional Differential Inclusions ◽  
Stability Results ◽  
Stability Concepts

AbstractIn this work, we discuss the existence and Ulam's type stability concepts for a class of partial functional differential inclusions with not instantaneous impulses and a nonconvex valued right hand side in Banach spaces. An example is also provided to illustrate our results.

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