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Department of Mathematical Analysis

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buxdu.uz-Buxoro Davlat Universiteti

Head of the Department

Dilmurodov Eler Baxtiyorovich

Doctor of Philosophy of Physical and Mathematical Sciences (PhD)

Every day, 1500 to 1700.

(0 365) 221-29-11

Bukhara city, M.iqbol street, 11

e.b.dilmurodov@buxdu.uz

(+99891) 418-95-11

  • Work activities

      Business activity: 9 years.
      Pedagogical activity:9 years.
      From 2006 to 2010, he taught at the Tashkent State Pedagogical University named after Nizami with a degree in Mathematics and Informatics and received a bachelor's degree. From 2010 to 2012 he studied at the Department of Mathematical Analysis of the National University of Uzbekistan, and in 2012 received a master's degree. In 2012-2019 he worked as a teacher at the Department of Mathematics at the Bukhara State University. In 2019-2021, he studied at the Bukhara State University in the basic doctoral program in the specialty of mathematical analysis 01.01.01. In 2021, he successfully defended his doctoral dissertation on the topic “Spectral properties of operator matrices of the second order” under the guidance of Ph.D., associate professor T.Kh. Rasulov and received a PhD in physical and mathematical sciences. Since July 7, 2021, he has been working as the head of the Department of Mathematical Analysis of the Bukhara State University.

  • Professional development

      At the Regional Center for Retraining and Advanced Training of Teachers of the Bukhara State University (Mathematics) (2017 y.)

  • Subjects taught (last three years)

      Mathematical analysis
      Complex analysis
      Theory of measure and integrals
      Functional analysis
       

  • Scientific activity

      1.Т.Х.Расулов, Э.Б.Дилмуродов. Бесконечность числа собственных значений  операторных матриц.Асимптотика дискретного спектра//Теоретическая и математическая физика. DOI: https://doi.org/10.4213/tmf9898, 205:3 (2020), C. 368-390. (Scopus, IF=1.3).
      2.T.H.Rasulov, E.B.Dilmurodov. Eigenvalues and virtual levels of a family of   operator matrices // Methods of Functional Analysis and Topology. 25:3 (2019), P. 273–281. (Scopus) (01.00.00; №04).
      3.T.H.Rasulov, E.B.Dilmurodov. Analysis of the spectrum of a   operator matrix // Discrete spectrum asymptotics. Nanosystems: Physics, Chemistry, Mathematics. DOI:10.17586/2220-8054-2020-11-2-138-144, 11:2 (2020), P. 138–144. (Scopus) (01.00.00; №05).
      4.T.H.Rasulov, E.B.Dilmurodov. Threshold analysis for a family of   operator matrices // Nanosystems: Physics, Chemistry, Mathematics. DOI:10.17586/2220-8054-2019-10-6-616-622, 10:6 (2019), P. 616–622. (Web of Science) (01.00.00; №05).
      5.Т.Х.Расулов, Э.Б.Дилмуродов. Исследование числовой области значений одной операторной матрицы // Вестн. Самарск. госуд. техн. ун-та. Сер. Физ.-мат. науки.DOI: http://dx.doi.org/10.14498/vsgtu1275,35:2 (2014), С. 50–63. (WebofScience).
      6.E.B.Dilmurodov. New branches of the essential spectrum of a   operator matrix // Uzbek Mathematical Journal. 2 (2020), pp. 44-51 (01.00.00; №06).
      7.Э.Б.Дилмуродов. О виртуальных уровнях одного семейства матричных операторов порядка 2 // Научный вестник БухГУ. 1 (2019), С. 42–46 (01.00.00; №03).
      8.Т.Х.Расулов, Э.Б.Дилмуродов. Оценки для квадратичной числовой области значений одной операторной матрицы // Узбекский математический журнал. 1 (2015), С. 64–74 (01.00.00; №06).
      9.T.H.Rasulov, E.B.Dilmurodov. Estimates for the bounds of the essential spectrum of a   operator matrix // Contemporary Mathematics. 1:4 (2020), P. 170–182.
      10.E.B.Dilmurodov. Discrete eigenvalues of a operator matrix // arXiv:2011.0965v1, 19 Nov 2020, 16 pages.
      11.Т.Х.Расулов, Э.Б.Дилмуродов. О мощности дискретного спектра одного семейства операторных матриц // Сборник тезисов Международной научной конференции «Уфимская осенняя математическая школа - 2020», Уфа, 11-14 ноября 2020 г., C. 57-59.
      12.Т.Х.Расулов, Э.Б.Дилмуродов. Пороговые эффекты в спектре одного семейства  операторных матриц // «Порядковый анализ и смежные вопросы математического моделирования»тезисы докладов XV Международной научной конференции (Владикавказ, 15-20 июля 2019 г.), C. 69-71.
      13.Э.Б.Дилмуродов. Асимптотические разложения определителя Фредгольма для семейства  операторных матриц //«Комплексный анализ и теория аппроксимаций» сборник Международной конференции (г. Уфа, 29-31 мая 2019 г.), C. 18-19.
      14.E.B.Dilmurodov. Eigenvalues of a family of   operator matrices // Abstracts of Uzbek-Israel joint International conference «Science - Technology - Education - Mathematics – Medicine» (13-17 may 2019, Bukhara - Samarkand - Tashkent), P. 39-40.
      15.Т.Х.Расулов, Э.Б.Дилмуродов. Числовой образ и спектр обобщенной модели Фридрихса // Тезисы докладов Международной конференции «Прикладной и геометрической анализ», Самарканд, 22-25 сентября, 2014 г., C. 74.
      16.T.H.Rasulov, E.B.Dilmurodov. The quadratic numerical range of a operator matrix // Abstracts of the International Conference on Problems of Modern Topology and Applications. Tashkent, 2013, P. 75–77.
      17.E.B.Dilmurodov. Structure of the essential spectrum of a   operator matrix // Abstracts of the conference «Problems of Mathematics, physics and information technologies», Bukhara, 15 april, 2020 y., P. 71–73.
      18.Э.Б.Дилмуродов. Исследование существенного спектра одной   операторной матрицы. // Материалы республиканской научно-практической конференции «Проблемы фундаментальной математики и их приложения», Навои, 25-мая, 2019 г., стр. 114–116.
      19.Э.Б.Дилмуродов. Двумерная обобщенная модель Фридрихса и его числовая образ. // Тезисы докладов конференции с участием зарубежных ученых «Жизнь и творчество академика Ташмухаммеда Ниязовича Кары-Ниязова», Ташкент, 7-8 сентября 2017 г., стр. 57–59.
      20.Э.Б.Дилмуродов. Числовой образ обобщенной модели Фридрихса: случай больших размерностей. // Тезисы докладов конференции с участием зарубежных учёных «Проблемы современной топологии и её приложения», Ташкент, 11-12 мая 2017 г., стр. 166–168.
      21.T.H.Rasulov, Z.N.Hamdamov, E.B.Dilmurodov. Matematikadan olimpiada masalalari. O’quvqo’llanma. Toshkent: Navro'znashriyori,2016 yil, 120 b
      22.T.H.Rasulov, E.B.Dilmurodov, N.A.Tosheva. Kompleks qatorlar va qoldiqlar nazariyasi elementlari. O’quv-metodik qo’llanma. Buxoro: Durdona nashriyoti, 2020 yil, 160 b.
       

Department of Mathematical Analysis

07.12.2022

About the department
The history of the department of "Mathematical Analysis" is closely linked with the history of Bukhara State University (BDPI).  In different years, the department was named differently.  In the 60s of the last century, the department was renamed the Department of Mathematics.  During these years, the head of the department was A. Yusupov.  The department has not lost its status since then.
In 2010, the departments of "Differential Equations", "Algebra and Analysis" were merged, the Department of "Mathematical Physics and Analysis" was established and was headed by Ph.D.  Led by G.I. Botirov, in 2014-2015 he was a Ph.D.  R.T. Mukhitdinov was the head of the department.  In 2015, the department was renamed the Department of Mathematics, which until July 2016 was headed by R.T. Mukhitdinov, and until January 2018, the head of the department was Ph.D., Associate Professor I.M. Juraev.  The department will be open from April 2018 to June 2019 with a Ph.D.  Associate Professor N.H.Mamtova, Ph.D. from June 2019 to May 2020, Associate Professor T.H.Rasulov.  From September 2020, the Department of "Mathematics" was divided into the departments of "Mathematical Analysis" and "Differential Equations", and the head of the Department of "Mathematical Analysis" was Ph.D., Associate Professor H.R. Rasulov.  From July 2021, the head of the department was assigned to E.B. Dilmurodov, Ph.D.  Currently, the department has 6 candidates of sciences, 3 senior teachers, 13 teachers and 5 basic doctoral students.
Areas of study, specialties and specialties prepared at the department:
5130100, 60540100 - Bachelor of Mathematics.
5A130101, 70540101 - Master's degree in Mathematics (by field).
There is a basic doctoral program in Mathematical Analysis and 13.00.04 - Theory and Methods of Education (Mathematics).
Research interests of the department:
spectral analysis of linear operators;
theory of quadratic stochastic operators;
educational theory and methods (mathematics);
Seminars at the department:
The department conducts a scientific seminar on "Functional analysis and its applications."  Seminar leader: f.-m.f.n., dots. T.H.Rasulov.  Seminar time: every Tuesday at 14:00, main building of Bukhara State University, room 417.  In addition to lectures on topical issues, the seminar also includes discussions of doctoral and doctoral (PhD) dissertations.
Scientific-educational seminar "Non-standard issues of analysis" for doctoral students, masters and students.  Seminar leader: f.-m.f.f.d.  E.B.Dilmurodov.  Seminar time: every Thursday, 16:00, BSU main building, room 417.
Scientific cooperation
Department Baltic University (Sweden), International Center for Theoretical Physics named after Abdus Salam (Italy), University of Bern (Switzerland), Universities of Bonn and Bochum (Germany), Islamic University of Malaysia and Malaysian University of Technology (Malaysia), Eurasian National University named after Gumilyov (Kazakhstan)  Kazakhstan), Kazan Federal University, Novosbirsk State University (Russian Federation) and a number of other international research centers and higher education institutions, the VIRomanosky Institute of Mathematics of the Academy of Sciences of the Republic of Uzbekistan and a number of prestigious higher education institutions of the Republic.  : Good cooperation with the National University of Uzbekistan, Samarkand State University, Urgench State University, Karakalpak State University, Karshi State University.
Disciplines taught at the department:
For undergraduate majors:
1.Mathematical analysis
2.Functional analysis
3.Probability theory and mathematical statistics
4.Theory of functions of complex variables
5.Discrete mathematics and mathematical logic
6.Selected chapters of functional analysis
7.Selected chapters of mathematical analysis
8.Methods of teaching mathematics
9.Higher mathematics
10.Mathematics
For master's specialties:
1.Theory of dimensions and integrals
2.Theory of operators in Banach spaces
3.Theory of self-contained operators
4.Spectral properties of operator matrices
5.Selected chapters of the analysis
6.Statistical models in pedagogical research

Resources

Members:

Dilmurodov Eler Baxtiyorovich (Doctor of Philosophy of Physical and Mathematical Sciences (PhD))

Khodzhiev Safar Khodzhievich (professor)

Xudayarov San’at Samadovich (fizika-matematika fanlari falsafa doktori (PhD))

Mamurov Bobokhon Zhuraevich (teacher)

Abdullayeva Muhayyakhon Abduvahid qizi (teacher)

Akramova Dilshoda Isroil qizi (Dotsent)

Latipov Hakimboy Mirzo ugli (teacher)

Boboyeva Muyassar Norboyevna (teacher)

Husenov Behzod Erkin o‘g‘li (-)

Saylieva Gulrukh Rustam qizi (teacher)

Tosheva Nargiza Ahmedovna (o'qituvchi)

Avezov Alijon Khairulloevich (teacher)

Jo‘rayev Shuhrat Isroilovich (Dotsent)

Dustova Shahlo Bakhtiyorovna (teacher)

Khayitova Khilola Gafurovna (teacher)

Bahronov Bekzod Islom ugli (teacher)

Jumayeva Charos Ilhomjon qizi (Assistent o`qituvchi_(ilmiy daraja yoki ilmiy unvonga ega emas))

Umarova Umida Umarovna (: senior lecturer)

Umarova Guljahon Umidullayevna (Senior teacher)

Mardanova Feruza Yadgarovna (teacher)

Rasulov Xaydar Raupovich (Candidate of Physical and Mathematical Sciences Associate Professor. Docent)