Second order sweeping process with perturbation in the nonconvex case

2019 ◽  
Vol 39 (2) ◽  
pp. 213
Author(s):  
Myelkebir Aitalioubrahim
Keyword(s):  
Second Order ◽  
Sweeping Process

Reduction approach to second order perturbed state-dependent sweeping process

2019 ◽  
Vol 28 (2) ◽  
Author(s):  
MUSTAPHA FATEH YAROU
Keyword(s):  
Fixed Point Theory ◽  
Point Theory ◽  
Second Order ◽  
Sweeping Process ◽  
New Approach ◽  
Standard Methods ◽  
First Order ◽  
Finite Dimensional ◽  
Perturbed State ◽  
State Dependent

In this paper, we present a new approach to solving second order nonconvex perturbed sweeping process in finite dimensional setting. It consists in a reduction of the problem to a first order one without use of the standard methods of fixed point theory. The perturbation, that is the external force applied on the system is not necessary with bounded values.

Second-Order Time and State-Dependent Sweeping Process in Hilbert Space

2018 ◽  
Vol 182 (1) ◽  
pp. 153-188 ◽  
Author(s):  
Fatine Aliouane ◽  
Dalila Azzam-Laouir ◽  
Charles Castaing ◽  
Manuel D. P. Monteiro Marques
Keyword(s):  
Hilbert Space ◽  
Second Order ◽  
Sweeping Process ◽  
State Dependent
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