3 papers
math.OC2023
On damping a control system of arbitrary order with global aftereffect on a tree
Sergey Buterin
We study a problem of damping a control system described by functional-differential equations of natural order and neutral type with non-smooth complex coefficients on an arbit…
math.SP2023
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…
math.SP2023
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…