Nonlocal Problems for Differential Inclusions in Hilbert Spaces

2014 ◽  
Vol 22 (3) ◽  
pp. 639-656 ◽  
Author(s):  
I. Benedetti ◽  
N. V. Loi ◽  
L. Malaguti
Keyword(s):  
Hilbert Spaces ◽  
Differential Inclusions ◽  
Nonlocal Problems

scholarly journals NONLINEAR DIFFERENTIAL INCLUSIONS OF SEMIMONOTONE AND CONDENSING TYPE IN HILBERT SPACES

2015 ◽  
Vol 52 (2) ◽  
pp. 421-438
Author(s):  
Hossein Abedi ◽  
Ruhollah Jahanipur
Keyword(s):  
Hilbert Spaces ◽  
Differential Inclusions ◽  
Nonlinear Differential Inclusions

On some differential inclusions in Hilbert spaces

1997 ◽  
Vol 29 (1) ◽  
pp. 65-76
Author(s):  
Bui An Ton
Keyword(s):  
Hilbert Spaces ◽  
Differential Inclusions

Approximate Controllability of Partial Fractional Neutral Integro-Differential Inclusions With Infinite Delay in Hilbert Spaces

2016 ◽  
Vol 11 (1) ◽  
Author(s):  
Zuomao Yan ◽  
Hongwu Zhang
Keyword(s):  
Hilbert Spaces ◽  
Differential Inclusions ◽  
Approximate Controllability ◽  
Infinite Delay ◽  
Sufficient Conditions ◽  
Multivalued Operators ◽  
Approximately Controllable ◽  
Fractional System ◽  
The Fixed Point Theorem ◽  
Necessary And Sufficient

We study the approximate controllability of a class of fractional partial neutral integro-differential inclusions with infinite delay in Hilbert spaces. By using the analytic α-resolvent operator and the fixed point theorem for discontinuous multivalued operators due to Dhage, a new set of necessary and sufficient conditions are formulated which guarantee the approximate controllability of the nonlinear fractional system. The results are obtained under the assumption that the associated linear system is approximately controllable. An example is provided to illustrate the main results.

scholarly journals Existence Results for Differential Inclusions with Nonlinear Growth Conditions in Banach Spaces

2013 ◽  
Vol 2013 ◽  
pp. 1-7
Author(s):  
Messaoud Bounkhel
Keyword(s):  
Banach Space ◽  
Hilbert Spaces ◽  
Differential Inclusions ◽  
Existence Of Solutions ◽  
Growth Conditions ◽  
Existence Results ◽  
Nonlinear Growth ◽  
Upper Semicontinuous ◽  
Set Valued Mapping ◽  
Sweeping Processes

In the Banach space setting, the existence of viable solutions for differential inclusions with nonlinear growth; that is,ẋ(t)∈F(t,x(t))a.e. onI,x(t)∈S,∀t∈I,x(0)=x0∈S, (*), whereSis a closed subset in a Banach space𝕏,I=[0,T],(T>0),F:I×S→𝕏, is an upper semicontinuous set-valued mapping with convex values satisfyingF(t,x)⊂c(t)x+xp𝒦,∀(t,x)∈I×S, wherep∈ℝ, withp≠1, andc∈C([0,T],ℝ+). The existence of solutions for nonconvex sweeping processes with perturbations with nonlinear growth is also proved in separable Hilbert spaces.

Approximate controllability of differential inclusions in Hilbert spaces

2012 ◽  
Vol 75 (5) ◽  
pp. 2701-2712 ◽  
Author(s):  
Krzysztof Rykaczewski
Keyword(s):  
Hilbert Spaces ◽  
Differential Inclusions ◽  
Approximate Controllability

Systems governed by impulsive differential inclusions on Hilbert spaces

2001 ◽  
Vol 45 (6) ◽  
pp. 693-706 ◽  
Author(s):  
N.U Ahmed
Keyword(s):  
Hilbert Spaces ◽  
Differential Inclusions ◽  
Impulsive Differential Inclusions

scholarly journals Differential Inclusions on Proximate Retracts of Separable Hilbert Spaces

2006 ◽  
Vol 36 (3) ◽  
pp. 765-781
Author(s):  
Ravi P. Agarwal ◽  
Donal O'Regan
Keyword(s):  
Hilbert Spaces ◽  
Differential Inclusions
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