Spectral properties of the singular ordinary differential operators are investigated. Are calculated the regularizated traces of the perturbated singular ordinary differential operators, is found asimptotic of eigenvalues, return problems are decided.
Main publications:
Dubrovskii V. V., Sedov A. I. Asimptotika sobstvennykh znachenii singulyarnogo differentsialnogo operatora tipa Yakobi // Dokl. RAN, 1997, 353(3), 295–299.
Dubrovskii V. V., Sedov A. I. Otsenka raznosti spektralnykh funktsii operatorov tipa Gegenbauera po norme $L_q$ // Izv. vuzov, ser. matem., 1999, 447(8), 20–25.
Dubrovskii V. V., Sedov A. I. Otsenka raznosti spektralnykh funktsii samosopryazhennykh operatorov // Elektromagnitnye volny i elektronnye sistemy, 2000, 5(5), 10–13.
Sadovnichii V. A., Dubrovskii V. V., Sedov A. I., Tipko A. N. Obratnaya zadacha spektralnogo analiza dlya operatora Yakobi s potentsialom // Dokl. RAN, 2001, 381(3), 313–314.
