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

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

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 …

This paper extends the Sturm-Liouville oscillation theory on the distribution of zeros of
eigenfunctions to the case of problems with strong singularities of the coefficients (of …

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 …

We solve the inverse spectral problem for a class of Sturm–Liouville operators with singular
non-local potentials and non-local boundary conditions. We study to what extent the …

We study the inverse spectral problem of reconstructing energy-dependent Sturm–Liouville
equations from their Dirichlet spectra and sequences of the norming constants. For the class …

We study the asymptotic behavior of the eigenvalues the Sturm-Liouville operator Ly=− y ″+
q (x) y with potentials from the Sobolev space W 2 θ− 1, θ≥ 0, including the nonclassical …

Inverse Problem for Sturm–Liouville Operators with Distribution Potentials: Reconstruction from
Two Spectra Page 1 Russian Journal of Mathematical Physics, Vol. 12, No. 4, 2005, pp …

Ly=− y+ q (x) y, x∈[0, π],(0.1) на конечном интервале. Первая задача связана с
восстановлением потенциала по двум спектрам этого оператора, порожденного …