scholarly journals Impulsive differential inclusions involving evolution operators in separable Banach spaces

2012 ◽  
Vol 64 (7) ◽  
pp. 991-1018 ◽  
Author(s):  
M. Benchohra ◽  
J. J. Nieto ◽  
A. Ouahab
Keyword(s):  
Banach Spaces ◽  
Differential Inclusions ◽  
Evolution Operators ◽  
Impulsive Differential Inclusions

scholarly journals Existence and Controllability Results for Nonlocal Fractional Impulsive Differential Inclusions in Banach Spaces

2013 ◽  
Vol 2013 ◽  
pp. 1-16 ◽  
Author(s):  
JinRong Wang ◽  
Ahmed G. Ibrahim
Keyword(s):  
Banach Spaces ◽  
Caputo Derivative ◽  
Infinitesimal Generator ◽  
Differential Inclusions ◽  
Mild Solutions ◽  
Linear Part ◽  
Sufficient Conditions ◽  
Control Problems ◽  
Compactness Property ◽  
Impulsive Differential Inclusions

We firstly deal with the existence of mild solutions for nonlocal fractional impulsive semilinear differential inclusions involving Caputo derivative in Banach spaces in the case when the linear part is the infinitesimal generator of a semigroup not necessarily compact. Meanwhile, we prove the compactness property of the set of solutions. Secondly, we establish two cases of sufficient conditions for the controllability of the considered control problems.

scholarly journals On some dichotomy concepts with different growth rates for evolution operators in Banach spaces

2015 ◽  
Vol 53 (2) ◽  
pp. 133-150
Author(s):  
Nicolae Marian Seimeanu
Keyword(s):  
Banach Space ◽  
Banach Spaces ◽  
Growth Rates ◽  
Real Numbers ◽  
Evolution Operators

Abstract This paper treats three concepts of (h, k)-dichotomy and their correspondents in the uniform cases. The connections between them are established through examples and counterexamples presented on the Banach space of square-summable sequences of real numbers.

scholarly journals Nonresonance problems for differential inclusions in separable Banach spaces

1996 ◽  
Vol 124 (8) ◽  
pp. 2357-2365 ◽  
Author(s):  
Zouhua Ding ◽  
Athanassios G. Kartsatos
Keyword(s):  
Banach Spaces ◽  
Differential Inclusions
Sign in / Sign up

Export Citation Format

Share Document