Доцент, кандидат физико-математических наук.
email: ftvsm78@gmail.com
PURE СПбГУ
Основное место работы
Санкт-Петербургское отделение Математического института им. В.А. Стеклова РАН, лаборатория математических методов геофизики.
Научные интересы
- Обратные задачи математической физики и связанные вопросы спектральной
теории и теории управления.
Основные публикации
- A. S. Mikhaylov, V. S. Mikhaylov. Dynamic inverse problem for Jacobi matrices, Inverse Problems and Imaging, 2019.
- A. S. Mikhaylov, V. S. Mikhaylov, S.A. Simonov. On the relationship between Weyl functions of Jacobi matrices and
response vectors for special dynamical systems with discrete time, Mathematical Methods in the Applied Sciences. DOI:
10.1002/mma.5147, 2018. - A. S. Mikhaylov, V. S. Mikhaylov. Boundary Control method and de Branges spaces. Schrodinger operator, Dirac
system, discrete Schrodinger operator. Journal of Mathematical Analysis and Applications, 460, no. 2, 927-953, 2018. - S. A. Avdonin, V. S. Mikhaylov, K. B. Nurtazina. On inverse dynamical and spectral problems for the wave and
Schr\”odinger equations on finite trees. The leaf peeling method. J. Math. Sci. (N.Y.) 224 (2017), no. 1, 1-10. - S.A. Avdonin, A.S. Mikhaylov and V.S. Mikhaylov On some applications of the Boundary Control method to spectral estimation and inverse problems. Nanosystems: Physics, Chemistry, Mathematics, 2015, 6 (1), P. 63–78
- M. I. Belishev, V. S. Mikhaylov Inverse problem for one-dimensional dynamical Dirac system (BC-method). Inverse Problems, Vol. 30, no. 12, 2014.
- S. A. Avdonin, G. Leugering and V. S. Mikhaylov «On an inverse problem for tree-like networks of elastic strings», ZAMM Z. Angew. Math. Mech. 90 (2010), no. 2, 136–150.
- S. A. Avdonin, V. S. Mikhaylov, A. V. Rybkin «The boundary control approach to the Titchmarsh-Weyl $m-$function», Comm. Math. Phys. 275, (2007), no. 3, 791—803.
- A. S. Mikhaylov , V. S. Mikhailov «Remark on Covering Theorem» Journal of Mathematical Science v.112, N 1, 2002, p 4024-4029