The price of liquidity in constant leverage strategies.
The Role of Green’s Functions in Inverse Scattering at Fixed Energy
The shrinking projection method for solving variational inequality problems and fixed point problems in Banach spaces.
The spectrum of Schrödinger operators with random magnetic fields
We shall consider the Schrödinger operators on with the magnetic field given by a nonnegative constant field plus random magnetic fields of the Anderson type or of the Poisson-Anderson type. We shall investigate the spectrum of these operators by the method of the admissible potentials by Kirsch-Martinelli. Moreover, we shall prove the lower Landau levels are infinitely degenerated eigenvalues when the constant field is sufficiently large, by estimating the growth order of the eigenfunctions...
The Study of two Evolutionary random Nonlinear Problems
The triangle and the open triangle
We show that for percolation on any transitive graph, the triangle condition implies the open triangle condition.
The von Neumann minimax theorem revisited
Théorie de la diffusion pour le modèle en théorie des champs
Théorie de la diffusion pour un atome couplé à un champ quantique
Three periodic solutions for a class of higher-dimensional functional differential equations with impulses
By using the well-known Leggett–Williams multiple fixed point theorem for cones, some new criteria are established for the existence of three positive periodic solutions for a class of n-dimensional functional differential equations with impulses of the form ⎧y’(t) = A(t)y(t) + g(t,yt), , j ∈ ℤ, ⎨ ⎩, where is a nonsingular matrix with continuous real-valued entries.
Three positive solutions for a system of singular generalized Lidstone problems.
Three positive solutions for -Laplacian functional dynamic equations on time scales.
Time-scale-dependent criteria for the existence of positive solutions to -Laplacian multipoint boundary value problem.
Towards an innovation theory of spatial Brownian motion under boundary conditions.
Transfer matrices and transport for Schrödinger operators
We provide a general lower bound on the dynamics of one dimensional Schrödinger operators in terms of transfer matrices. In particular it yields a non trivial lower bound on the transport exponents as soon as the norm of transfer matrices does not grow faster than polynomially on a set of energies of full Lebesgue measure, and regardless of the nature of the spectrum. Applications to Hamiltonians with a) sparse, b) quasi-periodic, c) random decaying potential are provided....
Transport equations in cell population dynamics. I.
Transport equations in cell population dynamics. II.
Trichotomy and bounded solutions of nonlinear differential equations
The existence of bounded solutions for equations in Banach spaces is proved. We assume that the linear part is trichotomic and the perturbation satisfies some conditions expressed in terms of measures of noncompactness.
Triple positive solutions for a boundary value problem of nonlinear fractional differential equation.
Triple positive solutions for a type of second-order singular boundary problems.