3 citations · 4 across the 6 of their papers we have counts for
8 papers
Null boundary controllability of a one-dimensional heat equation with internal point masses and variable coefficients
Kaïs Ammari, Hedi Bouzidi
In this paper, we consider a linear hybrid system which is composed of non-homogeneous thin rods connected by interior-point masses with a Dirichlet boundary condition on…
On the Simplicity of Eigenvalues of Two Nonhomogeneous Euler-Bernoulli Beams Connected by a Point Mass
Jamel Ben Amara, Hedi Bouzidi
In this paper we consider a linear system modeling the vibrations of two nonhomogeneous Euler-Bernoulli beams connected by a point mass. This system is generated by the following e…
Exact Boundary Controllability for the Boussinesq Equation with Variable Coefficients
Jamel Ben Amara, Hedi Bouzidi
In this paper we study the exact boundary controllability for the following Boussinesq equation with variable physical parameters: \begin{array}{lll} ρ(x)y_{tt}=-(σ(x)y_{xx})_{xx}+…
Boundary Controllability Of Two Vibrating Strings Connected By A Point Mass With Variable Coefficients
Jamel Ben Amara, Beldi Emna
S. Hansen and E. Zuazua [SIAM J. Cont. Optim., 1995] studied the problem of exact controllability of two strings connected by a point mass with constant physical coefficients. In t…
Systems-Disconjugacy of a Fourth-Order Differential Equation with a Middle Term
Jamel Ben Amara
Systems-conjugate points have been introduced and studied by John Barrett \cite{barr} in relation with the self-adjoint fourth order differential equation $$(r(x)y")"-(q(x)y')'= p(…
Null boundary controllability of a one-dimensional heat equation with an internal point mass and variable coefficients
Jamel Ben Amara, Hedi Bouzidi
In this paper we consider a linear hybrid system which composed by two non-homogeneous rods connected by a point mass and generated by the equation\bea\left\{ \begin{array}{ll} ρ_{…