3 papers
math.SP2026
Spectral asymptotics for two-term even-order differential operators with homogeneous delay
Dmitry M. Polyakov
We consider two-term even-order operators on the unit interval with homogeneous delay and with Dirichlet and Neumann boundary conditions. The main result provides to the eigenvalue…
math.SP2022
Spectral asymptotics for the fourth-order operator with periodic coefficients
Dmitry M. Polyakov
We consider the self-adjoint fourth-order operator with real -periodic coefficients on the unit interval. The spectrum of this operator is discrete. We determine the high energy…
math.SP2016
Spectral analysis of an even order differential operator
Dmitry M. Polyakov
Using the method of similar operators we study an even order differential operator with periodic, semiperiodic, and Dirichlet boundary conditions. We obtain asymptotic formulas for…