scholarly journals On a controllability problem for systems governed by semilinear functional differential inclusions in Banach spaces

2000 ◽  
Vol 15 (1) ◽  
pp. 141 ◽  
Author(s):  
Valeri Obukhovskiĭ ◽  
Paola Rubbioni
Keyword(s):  
Banach Spaces ◽  
Differential Inclusions ◽  
Controllability Problem ◽  
Functional Differential ◽  
Functional Differential Inclusions

scholarly journals Controllability of Impulsive Neutral Functional Differential Inclusions in Banach Spaces

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
X. J. Wan ◽  
Y. P. Zhang ◽  
J. T. Sun
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Banach Spaces ◽  
Point Theorem ◽  
Differential Inclusions ◽  
Sufficient Conditions ◽  
Controllability Problem ◽  
Special Cases ◽  
Functional Differential ◽  
Functional Differential Inclusions

We investigate the controllability of impulsive neutral functional differential inclusions in Banach spaces. Our main aim is to find an effective method to solve the controllability problem of impulsive neutral functional differential inclusions with multivalued jump sizes in Banach spaces. Based on a fixed point theorem with regard to condensing map, sufficient conditions for the controllability of the impulsive neutral functional differential inclusions in Banach spaces are derived. Moreover, a remark is given to explain less conservative criteria for special cases, and work is improved in the previous literature.

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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