In this paper, the linear differential expression of order n≥ 2 n ≥ 2 with distribution
coefficients of various singularity orders is considered. We obtain the associated matrix for …

This paper is concerned with inverse spectral problems for higher-order (n> 2) ordinary
differential operators. We develop an approach to the reconstruction from the spectral data …

where s∈ L 2 (0, π) and ys [1](x)≔ y′(x)− s (x) y (x) denotes the quasiderivative of y with
respect to s (the subscript is usually omitted from the notation, but we keep it because in this …

In this paper, we propose an approach to inverse spectral problems for the n-th order (n≥ 2)
ordinary differential operators with distribution coefficients. The inverse problems which …

In this paper, we consider a class of matrix functions that contains regularization matrices of
Mirzoev and Shkalikov for differential operators with distribution coefficients of order n≥ 2 …

In recent years, there appeared a considerable interest in the inverse spectral theory for
functional-differential operators with constant delay. In particular, it is well known that …

The half-inverse spectral problem for a Sturm–Liouville operator consists in reconstruction of
this operator from its spectrum and half of the potential. We give the necessary and sufficient …

Two inverse problems for the Sturm-Liouville operator Ly= sy ″+ q (x) y on the interval [0, fy]
are studied. For θ⩾ 0, there is a mapping F: W 2 θ→ l B θ, F (σ)={sk} 1∞, related to the first of …

The spectral properties of Dirac operators on $(0, 1) $ with potentials that belong entrywise
to $ L_p (0, 1) $, for some $ p\in [1,\infty) $, are studied. The algorithm of reconstruction of the …

In this paper, we, for the first time, prove the local solvability and stability of an inverse
spectral problem for higher-order (n> 3) differential operators with distribution coefficients …