Ключевые слова: Операторы Шрёдингера и Дирака,
спектральная теория операторов,
якобиевы матрицы.
Основные темы научной работы:
Спектральная теория операторов
Основные публикации:
A.Yu. Ananieva, V.S. Budyika, “To the spectral theory of the Bessel operator on finite interval and half-line”, Journal of Mathematical Sciences, 211:5 (2015), 624-645
A.Yu. Ananieva, V.S. Budyika, “On the spectral theory of the Bessel operator on a finite interval and the half-line”, Differential Equations, 52:11 (2016), 1517-1522
V Budyika, M Malamud, A Posilicano, “Nonrelativistic limit for $2p\times 2p$.Dirac operators with point interactions on a discrete set”, Russian Journal of Mathematical Physics, 24:4 (2017), 426-435
V.S. Budyka, M.M. Malamud, A. Posilicano, “To the Spectral Theory of One-Dimensional Matrix Dirac Operators with Point Matrix Interactions”, Doklady Mathematics, 97:2 (2018), 115-121
V.S. Budyka, M.M. Malamud, “Deficiency indices and discreteness property of block Jacobi matrices and Dirac operators with point interactions”, Journal of Mathematical Analysis and Applications, 506:1 (2022)
