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Second order state-dependent sweeping process with unbounded perturbation
Authors: Doria Affane, Nora Fetouci and Mustapha Fateh Yarou
Keywords: Differential inclusion, uniformly prox-regular sets, un-bounded perturbation, Carath\'eodory mapping, delay
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Keywords: Differential inclusion, uniformly prox-regular sets, un-bounded perturbation, Carath\'eodory mapping, delay
Abstract
We establish, in the setting of an infinite dimensional Hilbert space, results concerning the existence of solutions of second order "nonconvex sweeping process" for a class of uniformly prox-regular sets depending on time and state. The perturbation considered here is general and takes the form of a sum of a single-valued Carath\'eodory mapping and a set-valued unbounded mapping. We deal also with a delayed perturbation, that is the external forces applied on the system in presence of a finite delay. We extend a discretization approach known for the time-dependent case to the time and state-dependent sweeping process.LMPA Laboratory, Department of Mathematics,
Jijel University, Algeria
E-mail: , ,
Jijel University, Algeria
E-mail: , ,
Fulltext
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Contents
- The q.Zariski topology on the quasi-primary spectrum of a ring
- Unified Approach to Starlike and Convex Functions Involving Poisson Distribution Series
- Numerical Implementation of Daftardar-Gejji and Jafari Method to the Quadratic Riccati Equation
- On differentially prime subsemimodules
- Strong stability for multiobjective investment problem with perturbed minimax risks of different types and parameterized optimality
- Second order state-dependent sweeping process with unbounded perturbation
- Upper Bounds for the Number of Limit Cycles for a Class of Polynomial Differential Systems Via The Averaging Method
- Methods of construction of Hausdorff extensions
