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### A Limit-Point Criterion for Separated Dirac Operators and a Little Known Result on Riccati's Equation.

Mathematische Zeitschrift

### A new approach to inverse spectral theory. I: Fundamental formalism.

Annals of Mathematics. Second Series

### A new approach to inverse spectral theory. II: General real potentials and the connection to the spectral measure.

Annals of Mathematics. Second Series

### A new approach to Young measure theory, relaxation and convergence in energy

Annales de l'I.H.P. Analyse non linéaire

### A study of an operator arising in the theory of circular plates

Aplikace matematiky

The operator ${L}_{0}:{D}_{{L}_{0}}\subset H\to H$, ${L}_{0}u=\frac{1}{r}\frac{d}{dr}\left\{r\frac{d}{dr}\left[\frac{1}{r}\frac{d}{dr}\left(r\frac{du}{dr}\right)\right]\right\}$, ${D}_{{L}_{0}}=\left\{u\in {C}^{4}\left(\left[0,R\right]\right),{u}^{\text{'}}\left(0\right)={u}^{\text{'}\text{'}\text{'}\text{'}}\left(0\right)=0,u\left(R\right)={u}^{\text{'}}\left(R\right)=0\right\}$, $H={L}_{2,r}\left(0,R\right)$ is shown to be essentially self-adjoint, positive definite with a compact resolvent. The conditions on ${L}_{0}$ (in fact, on a general symmetric operator) are given so as to justify the application of the Fourier method for solving the problems of the types ${L}_{0}u=g$ and ${u}_{tt}+{L}_{0}u=g$, respectively.

### Almost periodic Sturm-Liouville operators with Cantor homogeneous spectrum.

Commentarii mathematici Helvetici

### An extension of Krein's inverse spectral theorem to strings with nonreflecting left boundaries

Séminaire de probabilités de Strasbourg

### An inverse problem for Sturm-Liouville operators on the half-line having Bessel-type singularity in an interior point

Open Mathematics

We study the inverse problem of recovering Sturm-Liouville operators on the half-line with a Bessel-type singularity inside the interval from the given Weyl function. The corresponding uniqueness theorem is proved, a constructive procedure for the solution of the inverse problem is provided, also necessary and sufficient conditions for the solvability of the inverse problem are obtained.

### Boundary Data Maps for Schrödinger Operators on a Compact Interval

Mathematical Modelling of Natural Phenomena

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...

### Das Randwertproblem für eine Klasse singulärer gewöhnlicher Differentialausdrücke.

Aequationes mathematicae

### Das Randwertproblem für eine Klasse singulärer gewöhnlicher Differentialausdrücke. (Short Communication).

Aequationes mathematicae

### Funktionalgleichungen in reellen Vektorräumen und verallgemeinerte Cauchy-Riemannsche Differentialgleichungen, speziell die Weylsche Gleichung des Neutrinos.

Aequationes mathematicae

### Funktionalgleichungen in reellen Verktorräumen und verallgemeinerte Cauchy-Riemannsche Differentialgleichungen, speziell die Weylsche Gleichung des Neutrinos. (Short Communication).

Aequationes mathematicae

### Greensche Matrix und die Formel von Titchmarsh-Kodaira für singuläre S-hermitesche Eigenwertprobleme.

Journal für die reine und angewandte Mathematik

### KdV Equation in the Quarter–Plane: Evolution of the Weyl Functions and Unbounded Solutions

Mathematical Modelling of Natural Phenomena

The matrix KdV equation with a negative dispersion term is considered in the right upper quarter–plane. The evolution law is derived for the Weyl function of a corresponding auxiliary linear system. Using the low energy asymptotics of the Weyl functions, the unboundedness of solutions is obtained for some classes of the initial–boundary conditions.

### Limit Circle Results for Second Order Equations.

Monatshefte für Mathematik

### Linksdefinite singuläre kanonische Eigenwertprobleme. I.

Journal für die reine und angewandte Mathematik

### Linksdefinite singuläre kanonische Eigenwertprobleme. II.

Journal für die reine und angewandte Mathematik

### Lp-Perturbations of Second Order Linear Differential Equations.

Mathematische Annalen

### Multiple positive solutions of the singular boundary value problem for second-order impulsive differential equations on the half-line.

Boundary Value Problems [electronic only]

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