5 papers
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…
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…