Banded matrices and discrete Sturm-Liouville eigenvalue problems.
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.
Bergman spaces on some tube-type domains and Laguerre operators on symmetric cones.
Bispectral commutative ordinary differential operators.
Boundary Data Maps for Schrödinger Operators on a Compact Interval
We provide a systematic study of boundary data maps, that is, 2 × 2 matrix-valued Dirichlet-to-Neumann and more generally, Robin-to-Robin maps, associated with one-dimensional Schrödinger operators on a compact interval [0, R] with separated boundary conditions at 0 and R. Most of our results are formulated in the non-self-adjoint context. Our principal results include explicit representations of these boundary data maps in terms of the resolvent...
Boundary problems of the second order with an indefinite weight-function.
Boundary value problems for nonlinear perturbations of some ϕ-Laplacians
This paper surveys a number of recent results obtained by C. Bereanu and the author in existence results for second order differential equations of the form (ϕ(u'))' = f(t,u,u') submitted to various boundary conditions. In the equation, ϕ: ℝ → ≤ ]-a,a[ is a homeomorphism such that ϕ(0) = 0. An important motivation is the case of the curvature operator, where ϕ(s) = s/√(1+s²). The problems are reduced to fixed point problems in suitable function space, to which Leray-Schauder...
Boundary value problems with jumping nonlinearities
Boundary value problems with regular singularities and singular boundary conditions.
Boundary-value problems for ordinary differential equations with matrix coefficients containing a spectral parameter.
Branch Switching in Bifurcation Problems for Ordinary Differential Equations