Speciality:
01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date:
19.07.1948
E-mail: , , ,
Keywords: spectral theory of operators; asymptotic methods in theory of differential equations; tauberian theorems.
Subject:
The problem of spectral asymptotics culculating of singular nonsemibounded differential operators is solved. The asymptotic formulas for fundamental system of ordinary differential equations are received in the degenerating case. A number of papers (with N. F. Valeev) were devoted to the investigating of spectral properties of differential operators with oscillating coefficients.
Main publications:
Sultanaev Ya. T. Ob indeksakh defekta i spektre odnomernykh singulyarnykh differentsialnykh operatorov v vyrozhdennom sluchae // DAN SSSR, 1985, t. 284, # 3, s. 551–555.
Sultanaev Ya. T. Asimptotika reshenii obyknovennykh differentsialnykh uravnenii v vyrozhdennom sluchae // Trudy seminara im. I. G. Petrovskogo, 1988, vyp. 13, s. 36–55.
Sadovnichii V. A., Sultanaev Ya. T., Akhtyamov A. M. Analogi teoremy edinstvennosti Borga v sluchae neraspadayuschikhsya kraevykh uslovii // Doklady RAN, 1999, t. 367, # 6, s. 739–741.
Sultanaev Ya. T., Valeev N. F. Ob indeksakh defekta operatora Shturma–Leuvillya v prostanstve vektor-funktsii // Matematicheskie zametki, 1999, t. 65, vyp. 6, s. 932–938.
