scholarly journals Characterization of the potential smoothness of one-dimensional Dirac operator subject to general boundary conditions and its Riesz basis property

2017 ◽  
Vol 447 (1) ◽  
pp. 84-108 ◽  
Author(s):  
İlker Arslan
Keyword(s):  
Dirac Operator ◽  
Boundary Conditions ◽  
Riesz Basis ◽  
Basis Property ◽  
General Boundary ◽  
General Boundary Conditions ◽  
One Dimensional ◽  
Riesz Basis Property

Riesz Basis Generation of the Euler-Bernoulli Beam Equation with Boundary Energy Dissipation

2012 ◽  
Vol 433-440 ◽  
pp. 123-127
Author(s):  
Cui Lian Zhou
Keyword(s):  
Energy Dissipation ◽  
Boundary Conditions ◽  
Riesz Basis ◽  
Boundary Energy ◽  
Basis Property ◽  
Beam Equation ◽  
Bernoulli Beam ◽  
Riesz Basis Property ◽  
Euler Bernoulli Beam ◽  
Regular Property

In this paper, the Riesz basis generation of the Euler-Bernoulli beam equation with with boundary energy dissipation is studied. Using the regular property of the boundary conditions, it is shown that the Riesz basis property holds

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