Speciality:
01.01.01 (Real analysis, complex analysis, and functional analysis)
Birth date:
28.01.1951
E-mail: Keywords: differential and difference operators, asymptotics for solutions of differential and difference equations, generalized Jacobi matrices, deficiency index of simmetric operators, defect numbers, spectrum.
UDC: 517.94, 517.4, 517.9, 517.983.35, 517.983.3 MSC: 47E05, 34L05
Subject:
Limit point ndash; limit circle for differential and difference operators. Asymptotics for solutions of linear ordinary differential and difference equations. deficiency index of simmetric operators. Problems of self-adjoint extensions of singular and irregular differential operators.
Main publications:
Kostuchenko A. G., Mirzoev K. A. Generalized Jacobi matrices and deficiency index of ordinary differential operators with polinomial coefficients // Functional analysis and applications, 1999, v. 33, no. 1, p. 30–45.
Dolgikh I. N., Mirzoev K. A. Deficiensy indices and spectrum of self-adjoint extensions of some classes of differential operators // Sbornik: Mathematics, 2006, v. 197, no. 4, p. 525–546.
Mirzoev K. A., Konechnaya N. N. On a class of operators related to second-order differential equations // Russian Journal of Mathematical Physics, 2006, v. 13, no. 1, p. 55&ndsh;63.
Mirzoev K. A., Eastham M. S. P. A Liouville–Green asymptotic estimate for a class of differential systems // Russian Journal of Mathematical Physics, 2005, v. 12, no. 4, p. 439–442.
Mirzoev K. A. About analogues of limit point's theorems for quasidifferential equations of high order // Doklady Mathematics, 1994, v. 338, no. 3, p. 306–309.
Mirzoev K. A. Orlov's theorem on the deficiency index of differential operators // Doklady Mathematics, 2001, v. 64, no. 2, p.591–595.