20 citations · 31 across the 19 of their papers we have counts for
19 papers
Asymptotics of solutions of differential equations with a spectral parameter
V. A. Yurko
The main goal of this paper is to construct the so-called Birkhoff-type solutions for linear ordinary differential equations with a spectral parameter. Such solutions play an impor…
A new approach to the inverse discrete transmission eigenvalue problem
Natalia P. Bondarenko, Vjacheslav A. Yurko
A discrete analog is considered for the inverse transmission eigenvalue problem, having applications in acoustics. We provide a well-posed inverse problem statement, develop a cons…
On inverse spectral problems for Sturm-Liouville differential operators on closed sets
S. A. Buterin, M. A. Kuznetsova, V. A. Yurko
We study Sturm-Liouville operators on closed sets of a special structure, which are sometimes referred as time scales and often appear in modelling various real processes. Dependin…
On recovering Sturm-Liouville differential operators with deviating argument
Natalia Bondarenko, Vjacheslav Yurko
We consider second-order functional differential operators with a constant delay. Properties of their spectral characteristics are obtained and a nonlinear inverse problem is studi…
Recovering First Order Integro-Differential Operators from Spectral Data
Vjacheslav Yurko
First order integro-differential operators on a finite interval are studied. Properties of spectral characteristic are established, and the uniqueness theorem is proved for the inv…
Estimates of complex eigenvalues and an inverse spectral problem for the transmission eigenvalue problem
Xiao-Chuan Xu, Chuan-Fu Yang, Sergey A. Buterin +1
This work deals with the interior transmission eigenvalue problem: with boundary conditions ${y\left( 0 \right) = 0 = y'\left( 1 \right)\frac{\s…
On Inverse Spectral Problems for Second Order Integro-differential Operators
Vjacheslav Yurko
Inverse spectral problems are studied for the second order integro-differential operators on a finite interval. Properties of spectral characteristic are established, and the uniqu…
Recovering Differential Operators with Nonseparated Boundary Conditions in the Central Symmetric Case
Vjacheslav Yurko
Inverse spectral problems for Sturm-Liouville operators on a finite interval with non-separated boundary conditions are studied in the central symmetric case, when the potential is…
Recovering Differential Operators on Spatial Networks
Vjacheslav Yurko
We give a short review of results on inverse spectral problems for ordinary differential operators on a spatial networks (geometrical graphs). We pay the main attention to the most…
Inverse Problems for Systems of Variable Order Differential Equations with Singularities on Spatial Networks
Vjacheslav Yurko
Variable order differential equations with non-integrable singularities are considered on spatial networks. Properties of the spectrum are established, and the solution of the inve…
Recovering Nonlocal Differential Pencils
Chuan-Fu Yang, Vjacheslav Yurko
Inverse problems for differential pencils with nonlocal conditions are investigated. Several uniqueness theorems of inverse problems from the Weyl-type function and spectra are pro…
Recovering Variable Order Differential Operators with Regular Singularities on Graphs
Vjacheslav Yurko
We study inverse spectral problems for ordinary differential equations with regular singularities on compact star-type graphs when differential equations have different orders on d…
Recovering Dirac Operator with Nonlocal Boundary Conditions
Chuan-Fu Yang, Vjacheslav Yurko
In this paper inverse problems for Dirac operator with nonlocal conditions are considered. Uniqueness theorems of inverse problems from the Weyl-type function and spectra are provi…
On Quasi-periodic Differential Pencils with Jump Conditions Inside the Interval
Vjacheslav Yurko
Non-self-adjoint second-order differential pencils on a finite interval with non-separated quasi-periodic boundary conditions and jump conditions are studied. We establish properti…
Inverse Spectral Problems for Sturm-Liouville Operators on Hedgehog-type Graphs with General Matching Conditions
Vjacheslav Yurko
Boundary value problems on hedgehog-type graphs for Sturm-Liouville differential operators with general matching conditions are studied. We investigate inverse spectral problems of…
Recovering Dirac systems with singularities in interior points
Oleg Gorbunov, Vjacheslav Yurko
We study the non-selfadjoint Dirac system on a finite interval having non-integrable regular singularities in interior points with additional matching conditions at these points. P…
Spectral analysis of the Dirac system with a singularity in an interior point
Oleg Gorbunov, Chung-Tsun Shieh, Vjacheslav Yurko
We study the non-selfadjoint Dirac system on the line having an non-integrable regular singularity in an interior point with additional matching conditions at the singular point. S…
Recovering Differential Operators with Nonlocal Boundary Conditions
Vjacheslav Yurko, Chuan-Fu Yang
Inverse spectral problems for Sturm-Liouville operators with nonlocal boundary conditions are studied. As the main spectral characteristics we introduce the so-called Weyl-type fun…
Recovering Higher Order Differential Systems with Regular Singularities on Star-type Graphs
Vjacheslav Yurko
We study an inverse spectral problem for arbitrary order ordinary differential equations on compact star-type graphs when differential equations have regular singularities at bound…