3 papers
math.SP2018
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…
math.OC2017
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…
math.SP2016
The Ratio of Eigenvalues of the Dirichlet Eigenvalue Problem for Equations with One-Dimensional p-Laplacian
Jamel Ben Amara, Hedhly Jihed
Chao-Zhong Chen et al. proved the upper estimate $\frac{λ_{n}}{λ_{m}}\leq \frac{% n^{p}}{m^{p}}$ for Dirichlet Shrödinger oper…