A problem on the zeros of the Mittag-Leffler function and the spectrum of a fractional-order differential operator.
A Stationary Schrödinger-Poisson System Arising from the Modelling of Electronic Devices.
Adomian decomposition method for nonlinear Sturm-Liouville problems.
An indefinite eigenvalue problem with eigenparameter in the two boundary conditions.
An Lp Estimate for the Difference of Derivatives of Spectral Expansions Arising by One-dimensional Schroedinger Operators
Asymptotic normality of eigenvalues of random ordinary differential operators
Boundary value problems for ordinary differential equations with random coefficients are dealt with. The coefficients are assumed to be Gaussian vectorial stationary processes multiplied by intensity functions and converging to the white noise process. A theorem on the limit distribution of the random eigenvalues is presented together with applications in mechanics and dynamics.
Basis properties of a fourth order differential operator with spectral parameter in the boundary condition
We consider a fourth order eigenvalue problem containing a spectral parameter both in the equation and in the boundary condition. The oscillation properties of eigenfunctions are studied and asymptotic formulae for eigenvalues and eigenfunctions are deduced. The basis properties in L p(0; l); p ∈ (1;∞); of the system of eigenfunctions are investigated.
Basis properties of eigenfunctions of nonlinear Sturm-Liouville problems.
Boundary value problems with regular singularities and singular boundary conditions.
Boundary-value problems for ordinary differential equations with matrix coefficients containing a spectral parameter.
Convergence of eigenfunction expansions corresponding to nonlinear Sturm-Liouville operators.
Eigenstructure of nonselfadjoint complex discrete vector Sturm-Liouville problems.
Eigensystem of an L 2-perturbed harmonic oscillator is an unconditional basis
For any complex valued L p-function b(x), 2 ≤ p < ∞, or L ∞-function with the norm ‖b↾L ∞‖ < 1, the spectrum of a perturbed harmonic oscillator operator L = −d 2/dx 2 + x 2 + b(x) in L 2(ℝ1) is discrete and eventually simple. Its SEAF (system of eigen- and associated functions) is an unconditional basis in L 2(ℝ).
Équilibre instable en régime semi-classique
Estimates for Derivatives and Integrals of Eigenfunctions and Associated Functions of Nonselfadjoint Sturm-Liouville Operator With Discontinuous Coefficients (II)
Finite eigenfunction approximations for continuous spectrum operators.
Hill's equation for a homogeneous tree.
Implicit constitutive solution scheme for Mohr-Coulomb plasticity
This contribution summarizes an implicit constitutive solution scheme of the elastoplastic problem containing the Mohr-Coulomb yield criterion, a nonassociative flow rule, and a nonlinear isotropic hardening. The presented scheme builds upon the subdifferential formulation of the flow rule leading to several improvements. Mainly, it is possible to detect a position of the unknown stress tensor on the Mohr-Coulomb pyramid without blind guesswork. Further, a simplified construction of the consistent...
Inequalities and eigenvalues of Sturm-Liouville problems near a singular boundary.
Inequalities for eigenvalue functionals.