Semilinear Hyperbolic Systems with Singular Non-Local Boundary Conditions: Reflection of Singularities and Delta Waves

2001 ◽  
Vol 20 (3) ◽  
pp. 637-659 ◽  
Author(s):  
Irina Kmit ◽  
Günther Hörmann
Keyword(s):  
Boundary Conditions ◽  
Hyperbolic Systems ◽  
Local Boundary ◽  
Delta Waves ◽  
Non Local ◽  
Semilinear Hyperbolic Systems

Elliptic problem involving non-local boundary conditions

2019 ◽  
Vol 181 ◽  
pp. 87-100
Author(s):  
Noureddine Igbida ◽  
Soma Safimba
Keyword(s):  
Boundary Conditions ◽  
Elliptic Problem ◽  
Local Boundary ◽  
Non Local

scholarly journals Finite-time stabilization in optimal time of homogeneous quasilinear hyperbolic systems in one dimensional space

2020 ◽  
Vol 26 ◽  
pp. 119 ◽  
Author(s):  
Jean-Michel Coron ◽  
Hoai-Minh Nguyen
Keyword(s):  
Finite Time ◽  
Nonlinear Boundary ◽  
Dimensional Space ◽  
Hyperbolic Systems ◽  
Optimal Time ◽  
Local Boundary ◽  
Quasilinear Hyperbolic Systems ◽  
Non Local ◽  
Linearized System ◽  
Finite Time Stabilization

We consider the finite-time stabilization of homogeneous quasilinear hyperbolic systems with one side controls and with nonlinear boundary condition at the other side. We present time-independent feedbacks leading to the finite-time stabilization in any time larger than the optimal time for the null controllability of the linearized system if the initial condition is sufficiently small. One of the key technical points is to establish the local well-posedness of quasilinear hyperbolic systems with nonlinear, non-local boundary conditions.

On Fractional Difference Langevin Equations Involving Non-Local Boundary Conditions

2020 ◽  
Vol 29 (2) ◽  
Author(s):  
R. Butt ◽  
J. Alzabut ◽  
J. Jonnalagadda ◽  
M. Rehman
Keyword(s):  
Boundary Conditions ◽  
Langevin Equations ◽  
Fractional Difference ◽  
Local Boundary ◽  
Non Local
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