Dirac operator with complex-valued summable potential

AM Savchuk, AA Shkalikov - Mathematical Notes, 2014 - Springer
The paper deals with the Dirac operator generated on the finite interval 0, π by the
differential expression− B y′+ Q (x) y, where B=\left (), Q (x)=\left (), and the entries qj (x) …

[HTML][HTML] On the Riesz basis property of root vectors system for 2× 2 Dirac type operators

AA Lunyov, MM Malamud - Journal of Mathematical Analysis and …, 2016 - Elsevier
The paper is concerned with the Riesz basis property of a boundary value problem
associated in L 2 [0, 1]⊗ C 2 with the following 2× 2 Dirac type equation (0.1) L y=− i B− 1 …

Asymptotic analysis of solutions of ordinary differential equations with distribution coefficients

AM Savchuk, AA Shkalikov - Sbornik: Mathematics, 2020 - iopscience.iop.org
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 …

Inverse spectral problems for energy-dependent Sturm–Liouville equations

R Hryniv, N Pronska - Inverse Problems, 2012 - iopscience.iop.org
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 …

Inverse problems for Dirac operators with constant delay: uniqueness, characterization, uniform stability

S Buterin, N Djurić - Lobachevskii Journal of Mathematics, 2022 - Springer
We initiate studying inverse spectral problems for Dirac-type functional-differential operators
with constant delay. For simplicity, we restrict ourselves to the case when the delay …

Stability of spectral characteristics of boundary value problems for 2× 2 Dirac type systems. Applications to the damped string

AA Lunyov, MM Malamud - Journal of Differential Equations, 2022 - Elsevier
The paper is concerned with the stability property under perturbation Q→ Q˜ of different
spectral characteristics of a boundary value problem associated in L 2 ([0, 1]; C 2) with the …

Асимптотический анализ решений обыкновенных дифференциальных уравнений с коэффициентами-распределениями

АМ Савчук, АА Шкаликов - Математический сборник, 2020 - elibrary.ru
Рассматриваются обыкновенные дифференциальные уравнения вида $\tau (y)-
\lambda^{2m}\varrho (x) y= 0,\qquad\tau (y)=\sum_ {k, s= 0}^ m (\tau_ {k, s}(x) …

Inverse problems for the matrix Sturm–Liouville equation on a finite interval

V Yurko - Inverse Problems, 2006 - iopscience.iop.org
Inverse spectral problems are studied for the non-self-adjoint matrix Sturm–Liouville
differential equation on a finite interval. We give formulations of the inverse problems, prove …

Inverse spectral problems for Sturm–Liouville operators with matrix-valued potentials

YV Mykytyuk, NS Trush - Inverse Problems, 2009 - iopscience.iop.org
We give a complete description of the set of spectral data (eigenvalues and specially
introduced norming constants) for Sturm–Liouville operators on the interval [0, 1] with matrix …

Reconstruction of energy-dependent Sturm–Liouville equations from two spectra

N Pronska - Integral Equations and Operator Theory, 2013 - Springer
In this paper we study the inverse spectral problem of reconstructing energy-dependent
Sturm–Liouville equations from two spectra. We give a reconstruction algorithm and …