Self-adjoint boundary-value problems on time-scales.
Semi-classical analysis for Harper's equation. III : Cantor structure of the spectrum
Semiclassical limit of the spectral decomposition of a Schrödinger operator in one dimension.
Solving inverse nodal problem with frozen argument by using second Chebyshev wavelet method
We consider the inverse nodal problem for Sturm-Liouville (S-L) equation with frozen argument. Asymptotic behaviours of eigenfunctions, nodal parameters are represented in two cases and numerical algorithms are produced to solve the given problems. Subsequently, solution of inverse nodal problem is calculated by the second Chebyshev wavelet method (SCW), accuracy and effectiveness of the method are shown in some numerical examples.
Some sharp inequalities for Dirac type operators.
Spectra of self-gradients on spheres.
Spectral singularities of Sturm-Liouville problems with eigenvalue-dependent boundary conditions.
Spectral Theory for Slowly Oscillating Potentials I. Jacobi Matrices.
Stark resonances for random potentials of Anderson type
Strong resonant tunneling, level repulsion and spectral type for one-dimensional adiabatic quasi-periodic Schrödinger operators
Sturm-Liouville operator with general boundary conditions.
Sturm-Liouville systems are Riesz-spectral systems
The class of Sturm-Liouville systems is defined. It appears to be a subclass of Riesz-spectral systems, since it is shown that the negative of a Sturm-Liouville operator is a Riesz-spectral operator on L^2(a,b) and the infinitesimal generator of a C_0-semigroup of bounded linear operators.
Sur le spectre de quelques opérateurs et les variétés de Jacobi
Sur l'inégalité de Sobolev logarithmique des opérateurs de Laguerre à petit paramètre