Осцилляционная теория Штурма--Лиувилля для импульсных задач Page 1 2008 г.
январь — февраль т. 63, вып. 1(379) УСПЕХИ МАТЕМАТИЧЕСКИХ НАУК УДК 517.927 …

This paper presents a review of both classical and modern results pertaining to partial
inverse spectral problems for differential operators. Such problems consist in the recovery of …

J. Math. Anal. Appl. Inverse nodal and inverse spectral problems for discontinuous boundary
value problems Page 1 J. Math. Anal. Appl. 347 (2008) 266–272 Contents lists available at …

Sturm–Liouville differential operators on compact graphs without cycles (ie on trees) are
studied. We establish properties of the spectral characteristics and investigate two inverse …

We systematically develop Weyl-Titchmarsh theory for singular differential operators on
arbitrary intervals $(a, b)\subseteq\mathbb {R} $ associated with rather general differential …

This open access book gives a systematic introduction into the spectral theory of differential
operators on metric graphs. Main focus is on the fundamental relations between the …

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 …

A new representation of solutions to the equation− y′′+ q (x) y= ω 2 y is obtained. For
every x the solution is represented as a Neumann series of Bessel functions depending on …

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 …