Transmutations, Singular and Fractional Differential Equations with Applications to
Mathematical Physics connects difficult problems with similar more simple ones. The book's …

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

The inverse spectral problem is solved for the class of Sturm–Liouville operators with
singular real-valued potentials from the space W 2− 1 (0, 1). The potential is recovered via …

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 …

We examine two kinds of spectral theoretic situations: First, we recall the case of self-adjoint
half-line Schrödinger operators on [a,∞), a∈ ℝ, with a regular finite end point a and the …

We study the system of root functions (SRF) of Hill operator Ly=− y ″+ vy with a singular
(complex-valued) potential v∈ Hper− 1 and the SRF of 1D Dirac operator Ly= i (100− 1) …

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 …

Asymptotic analysis of solutions of ordinary differential equations with distribution
coefficients - IOPscience This site uses cookies. By continuing to use this site you agree to …

We obtain the uniform stability of recovering entire functions of special form from their zeros.
To such a form, we can reduce the characteristic determinants of strongly regular differential …