differential and difference operators, asymptotics of solutions of differential and difference equations, deficiency numbers of symmetric operators, selfadjoint extensions, spectrum
Subject:
The asymptotics of solutions of linear differential and difference equations. Spectral analysis of differential and difference operators
Main publications:
I. N. Dolgikh, K. A. Mirzoev, “Indeksy defekta i spektr samosopryazhennykh rasshirenii nekotorykh klassov differentsialnykh operatorov”, Matem. sb., 197:4 (2006), 53–74
I. N. Broitigam, K. A. Mirzoev, T. A. Safonova, “Analog teoremy Orlova ob indekse defekta dlya matrichnykh differentsialnykh operatorov vtorogo poryadka”, Matem. zametki, 97:2 (2015), 314–317
I. N. Braeutigam, D. M. Polyakov, “On the asymptotics of eigenvalues of a third-order differential operator”, Algebra i Analiz, 31:4 (2019), 16–47; St. Petersburg Math. J., 31:4 (2020), 585–606
I. N. Braeutigam, D. M. Polyakov, “Asymptotics of eigenvalues of infinite block matrices”, Ufimsk. Mat. Zh., 11:3 (2019), 10–29; Ufa Math. J., 11:3 (2019), 11–28
I. N. Braeutigam, K. A. Mirzoev, “On the defect numbers of operators generated by Jacobian matrices with operator entries”, Algebra i Analiz, 30:4 (2018), 1–26; St. Petersburg Math. J., 30:4 (2019), 621–638
I. N. Braeutigam, K. A. Mirzoev, “Asymptotics of Solutions of Matrix Differential Equations with Nonsmooth Coefficients”, Mat. Zametki, 104:1 (2018), 148–153; Math. Notes, 104:1 (2018), 150–155
I. N. Braeutigam, K. A. Mirzoev, T. A. Safonova, “On deficiency index for some second order vector differential operators”, Ufimsk. Mat. Zh., 9:1 (2017), 18–28; Ufa Math. J., 9:1 (2017), 18–28
I. N. Braeutigam, K. A. Mirzoev, T. A. Safonova, “An Analog of Orlov's Theorem on the Deficiency Index of Second-Order Differential Operators”, Mat. Zametki, 97:2 (2015), 314–317; Math. Notes, 97:2 (2015), 300–303
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