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Mirzoev, Karakhan Agahan ogly

Statistics Math-Net.Ru
Total publications: 31
Scientific articles: 31
Presentations: 3

Number of views:
This page:2641
Abstract pages:9676
Full texts:2037
References:955
Associate professor
Doctor of physico-mathematical sciences
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.

http://www.mathnet.ru/eng/person9174
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/218232

Publications in Math-Net.Ru
2019
1. K. A. Mirzoev, T. A. Safonova, “On Integral Representation of Sums of Some Power Series”, Mat. Zametki, 106:3 (2019),  470–475  mathnet; Math. Notes, 106:3 (2019), 468–472
2. N. N. Konechnaja, K. A. Mirzoev, “The Leading Term of the Asymptotics of Solutions of Linear Differential Equations with First-Order Distribution Coefficients”, Mat. Zametki, 106:1 (2019),  74–83  mathnet  elib; Math. Notes, 106:1 (2019), 81–88  isi  scopus
2018
3. 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  mathnet
4. K. A. Mirzoev, N. N. Konechnaja, T. A. Safonova, R. N. Tagirova, “Generalized Jacobian Matrices and Spectral Analysis of Differential Operators with Polynomial Coefficients”, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 152 (2018),  91–102  mathnet  mathscinet
5. N. N. Konechnaja, K. A. Mirzoev, A. A. Shkalikov, “On the Asymptotic Behavior of Solutions to Two-Term Differential Equations with Singular Coefficients”, Mat. Zametki, 104:2 (2018),  231–242  mathnet  elib; Math. Notes, 104:2 (2018), 244–252  isi  scopus
6. I. N. Braeutigam, K. A. Mirzoev, “Asymptotics of Solutions of Matrix Differential Equations with Nonsmooth Coefficients”, Mat. Zametki, 104:1 (2018),  148–153  mathnet  elib; Math. Notes, 104:1 (2018), 150–155  isi  scopus
2017
7. K. A. Mirzoev, N. N. Konechnaja, T. A. Safonova, R. N. Tagirova, “On asymptotics of solutions to some linear differential equations”, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 141 (2017),  103–110  mathnet  mathscinet
8. N. N. Konechnaya, K. A. Mirzoev, “Asymptotics of solutions to a class of linear differential equations”, Ufimsk. Mat. Zh., 9:3 (2017),  78–88  mathnet  elib; Ufa Math. J., 9:3 (2017), 76–86  isi  scopus
9. 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  mathnet  elib; Ufa Math. J., 9:1 (2017), 18–28  isi  scopus
2016
10. K. A. Mirzoev, N. N. Konechnaja, “Asymptotics of Solutions of a Class of Linear Differential Equations with Nonsmooth Coefficients”, Mat. Zametki, 100:2 (2016),  312–317  mathnet  mathscinet  elib; Math. Notes, 100:2 (2016), 334–340  isi  scopus
11. K. A. Mirzoev, A. A. Shkalikov, “Differential Operators of Even Order with Distribution Coefficients”, Mat. Zametki, 99:5 (2016),  788–793  mathnet  mathscinet  elib; Math. Notes, 99:5 (2016), 779–784  isi  scopus
12. K. A. Mirzoev, T. A. Safonova, “On the Deficiency Index of the Vector-Valued Sturm–Liouville Operator”, Mat. Zametki, 99:2 (2016),  262–277  mathnet  mathscinet  elib; Math. Notes, 99:2 (2016), 290–303  isi  scopus
2015
13. 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  mathnet  mathscinet  zmath  elib; Math. Notes, 97:2 (2015), 300–303  isi  scopus
2014
14. K. A. Mirzoev, “Sturm–Liouville operators”, Tr. Mosk. Mat. Obs., 75:2 (2014),  335–359  mathnet  elib; Trans. Moscow Math. Soc., 75 (2014), 281–299  scopus
2011
15. K. A. Mirzoev, T. A. Safonova, “The singular Sturm–Liouville operators with nonsmooth potentials in a space of vector functions”, Ufimsk. Mat. Zh., 3:3 (2011),  105–119  mathnet  zmath
2007
16. K. A. Mirzoev, “Multi-parameter Sturm–Liouville problem. Limit point and limit circle”, Uspekhi Mat. Nauk, 62:6(378) (2007),  183–184  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 62:6 (2007), 1218–1220  isi  elib  scopus
2006
17. I. N. Dolgikh, K. A. Mirzoev, “Deficiency indices and spectrum of self-adjoint extensions of some classes of differential operators”, Mat. Sb., 197:4 (2006),  53–74  mathnet  mathscinet  zmath  elib; Sb. Math., 197:4 (2006), 525–546  isi  elib  scopus
2001
18. A. G. Kostyuchenko, K. A. Mirzoev, “Complete Indefiniteness Tests for Jacobi Matrices with Matrix Entries”, Funktsional. Anal. i Prilozhen., 35:4 (2001),  32–37  mathnet  mathscinet  zmath; Funct. Anal. Appl., 35:4 (2001), 265–269  isi  scopus
2000
19. K. A. Mirzoev, “On a class of operators connected with second-order differential equations”, Uspekhi Mat. Nauk, 55:6(336) (2000),  147–148  mathnet  mathscinet  zmath; Russian Math. Surveys, 55:6 (2000), 1159–1160  isi  scopus
1999
20. A. G. Kostyuchenko, K. A. Mirzoev, “Generalized Jacobi Matrices and Deficiency Numbers of Ordinary Differential Operators with Polynomial Coefficients”, Funktsional. Anal. i Prilozhen., 33:1 (1999),  30–45  mathnet  mathscinet  zmath; Funct. Anal. Appl., 33:1 (1999), 25–37  isi
1998
21. A. G. Kostyuchenko, K. A. Mirzoev, “Three-term recurrence relations with matrix coefficients. The completely indefinite case”, Mat. Zametki, 63:5 (1998),  709–716  mathnet  mathscinet  zmath; Math. Notes, 63:5 (1998), 624–630  isi
1997
22. K. A. Mirzoev, “$L^p$-Properties of Solutions to Quasi-Differential Equations and Perturbation of Their Coefficients on Sets of Positive Measure”, Funktsional. Anal. i Prilozhen., 31:1 (1997),  80–83  mathnet  mathscinet  zmath; Funct. Anal. Appl., 31:1 (1997), 63–64  isi
1996
23. A. G. Kostyuchenko, K. A. Mirzoev, “A criterion for the complete indeterminacy of three-term recurrence relations”, Uspekhi Mat. Nauk, 51:6(312) (1996),  207–208  mathnet  mathscinet  zmath; Russian Math. Surveys, 51:6 (1996), 1208–1209  isi  scopus
1995
24. K. A. Mirzoev, “Analogs of limit-point theorems”, Mat. Zametki, 57:3 (1995),  394–414  mathnet  mathscinet  zmath  elib; Math. Notes, 57:3 (1995), 275–287  isi
1992
25. K. A. Mirzoev, “On a generalization of Eastham's theorem on a limit point”, Uspekhi Mat. Nauk, 47:4(286) (1992),  203–204  mathnet  mathscinet  zmath; Russian Math. Surveys, 47:4 (1992), 222–223  isi
1991
26. K. A. Mirzoev, “Existence conditions for solutions of quasidifferential equations which do not belong to the space $\mathscr L^p(0,+\infty)$”, Mat. Zametki, 50:6 (1991),  105–115  mathnet  mathscinet  zmath; Math. Notes, 50:6 (1991), 1287–1294  isi
27. K. A. Mirzoev, “The Cauchy function and $\mathscr{L}^p_w$-properties of solutions of quasidifferential equations”, Uspekhi Mat. Nauk, 46:4(280) (1991),  161–162  mathnet  mathscinet  zmath; Russian Math. Surveys, 46:4 (1991), 190–191  isi
1990
28. K. A. Mirzoev, “Conditions for the existence of a solution to the equation $y-qy$ that does not belong to the space $\mathscr{L}^p(0,+\infty)$”, Mat. Zametki, 47:4 (1990),  77–82  mathnet  mathscinet  zmath; Math. Notes, 47:4 (1990), 364–368  isi
1987
29. K. A. Mirzoev, “Nonquasiregularity of certain quasidifferential operators”, Mat. Zametki, 41:5 (1987),  673–681  mathnet  mathscinet  zmath; Math. Notes, 41:5 (1987), 377–382  isi
1985
30. K. A. Mirzoev, “Cases of the limit point and the limit circle”, Mat. Zametki, 37:5 (1985),  712–716  mathnet  mathscinet  zmath; Math. Notes, 37:5 (1985), 392–394  isi
31. K. A. Mirzoev, “A criterion for the quasi-regularity of an operator induced by a quasi-differential expression”, Uspekhi Mat. Nauk, 40:1(241) (1985),  207–208  mathnet  mathscinet  zmath; Russian Math. Surveys, 40:1 (1985), 229–230  isi

Presentations in Math-Net.Ru
1. On the deficiency numbers of ordinary differential operators
K. A. Mirzoev
Seminar on analytic theory of differential equations
November 2, 2016 15:30   
2. Sturm-Liouville operators
K. A. Mirzoev
International Conference on Differential Equations and Dynamical Systems
July 7, 2014 09:45
3. Quasidifferential operators
K. A. Mirzoev
International Conference on Differential Equations and Dynamical Systems
July 4, 2014 15:00

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