4 papers
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 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…
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…
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…