24 citations · 65 across the 11 of their papers we have counts for
11 papers
Operator-differential expressions: regularization and completeness of the root functions
Sergey Buterin
We consider an operator-differential expression of the form where is a linear bounded invertible operator, whil…
On recovering Sturm--Liouville-type operators with global delay on graphs from two spectra
Sergey Buterin
We suggest a new formulation of the inverse spectral problem for second-order functional-differential operators on star-shaped graphs with global delay. The latter means that the d…
An inverse Sturm--Liouville-type problem with constant delay and non-zero initial function
Sergey Buterin, Sergey Vasilev
We suggest a new statement of the inverse spectral problem for Sturm--Liouville-type operators with constant delay. This inverse problem consists in recovering the coefficient (oft…
Functional-differential operators on geometrical graphs with global delay and inverse spectral problems
Sergey Buterin
We suggest a new concept of functional-differential operators with constant delay on geometrical graphs that involves {\it global} delay parameter. Differential operators on graphs…
On the uniform stability of recovering sine-type functions with asymptotically separated zeros
Sergey Buterin
We obtain a uniform stability of recovering entire functions of a special form from their zeros. To this form, one can reduce the characteristic determinants of strongly regular di…
Sturm-Liouville-type operators with frozen argument and Chebyshev polynomials
Tzong-Mo Tsai, Hsiao-Fan Liu, Sergey Buterin +2
The paper deals with Sturm-Liouville-type operators with frozen argument of the form where and is…
Inverse spectral problems for Hill-type operators with frozen argument
Sergey Buterin, Yi-Teng Hu
The paper deals with nonlocal differential operators possessing a term with frozen (fixed) argument appearing, in particular, in modelling various physical systems with feedback. T…
Uniform full stability of recovering convolutional perturbation of the Sturm-Liouville operator from the spectrum
Sergey Buterin
The perturbation of the Sturm-Liouville operator on a finite interval with Dirichlet boundary conditions by a convolution operator is considered. Local stability and global unique…
Uniform stability of the inverse spectral problem for a convolution integro-differential operator
Sergey Buterin
The operator of double differentiation, perturbed by the composition of the differentiation operator and a convolution one, on a finite interval with Dirichlet boundary conditions…
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…
Solution of the inverse spectral problem for a convolution integro-differential operator with Robin boundary conditions
S. A. Buterin, A. E. Choque Rivero
The operator of double differentiation on a finite interval with Robin boundary conditions perturbed by the composition of a Volterra convolution operator and the differentiation o…