Spectral analysis of an operator associated with linear functional differential equations and its applications.
Spectral analysis of relativistic atoms -- Dirac operators with singular potentials.
Spectral approximation for Segal-Bargmann space Toeplitz operators
Let A stand for a Toeplitz operator with a continuous symbol on the Bergman space of the polydisk or on the Segal-Bargmann space over . Even in the case N = 1, the spectrum Λ(A) of A is available only in a few very special situations. One approach to gaining information about this spectrum is based on replacing A by a large “finite section”, that is, by the compression of A to the linear span of the monomials . Unfortunately, in general the spectrum of does not mimic the spectrum of A as...
Spectral properties of the spin-boson hamiltonian
Spectral sets and the Drazin inverse with applications to second order differential equations
The paper defines and studies the Drazin inverse for a closed linear operator in a Banach space in the case that belongs to a spectral set of the spectrum of . Results are applied to extend a result of Krein on a nonhomogeneous second order differential equation in a Banach space.
Spectral theory of corrugated surfaces
We discuss spectral and scattering theory of the discrete laplacian limited to a half-space. The interesting properties of such operators stem from the imposed boundary condition and are related to certain phenomena in surface physics.
Stability of convergent continuous descent methods.
Stability of matter in classical and quantized fields.
Stability of the Brown-Ravenhall operator.
Stability on coupling SIR epidemic models with vaccination.
Standard generalized vectors for partial O*-algebras
Stark resonances for random potentials of Anderson type
State trajectories analysis for a class of tubular reactor nonlinear nonautonomous models.
Static electromagnetic fields in monotone media
The paper considers the static Maxwell system for a Lipschitz domain with perfectly conducting boundary. Electric and magnetic permeability ε and μ are allowed to be monotone and Lipschitz continuous functions of the electromagnetic field. The existence theory is developed in the framework of the theory of monotone operators.
Stiemke theorem as a toll for some mathematical models of economics
Stokeslet and operator extension theory.
Operator version of the Stokeslet method in the theory of creeping flow is suggested. The approach is analogous to the zero-range potential one in quantum mechanics and is based on the theory of self-adjoint operator extensions in the space L2 and in the Pontryagin?s space with an indefinite metric. The problem of Stokes flow in two channels connected through a small opening is considered in the framework of this approach. The case of a periodic system of small openings is studied too. The picture...
Strong convergence of a modified iterative algorithm for mixed-equilibrium problems in Hilbert spaces.
Strong convergence theorem by a new hybrid method for equilibrium problems and relatively nonexpansive mappings.
Strong resonant tunneling, level repulsion and spectral type for one-dimensional adiabatic quasi-periodic Schrödinger operators
Structure of the Hardy operator related to Laguerre polynomials and the Euler differential equation.
We present a direct proof of a known result that the Hardy operator Hf(x) = 1/x ∫0x f(t) dt in the space L2 = L2(0, ∞) can be written as H = I - U, where U is a shift operator (Uen = en+1, n ∈ Z) for some orthonormal basis {en}. The basis {en} is constructed by using classical Laguerre polynomials. We also explain connections with the Euler differential equation of the first order y' - 1/x y = g and point out some generalizations to the case with weighted Lw2(a, b) spaces.