Ministry of Science and Education Republic of Azerbaijan

Institute of Mathematics and Mechanics

Full nameAbdurrahim Guliyev Farman
Birthday10-11-1957
Academic degreeCandidate of Sciences
Academic titleNone
DepartmentDepartment of “Equations of mathematical physics”
PositionDepartment Manager, full time (grade 16)
Work phone

510 14 91

539 39 24

Mobile phone

50 537 66 33

E-mail

[email protected]

Total number of scientific works62
Number of works published abroad6
Number of works in indexing bases4
Insitutions

Institute of Mathematics and Mechanics of the Ministry of Science and Education of the Republic of Azerbaijan
Azerbaijan State Oil and Industry University, Department of “General and Applied Mathematics”, main lecturer;
Expert in the subject “Mathematics” at the State Examination Center

 

Main scientific achievements

Investigation interior and boundary qualitative   properties of the solving of parabolic equations second order, receiving criterion type Wiener for a regularity of a boundary point in terms of potential and capacity and uniqueness solvability of the mixed problem in Sobolev’s spaces.

 

Scientific works

1. Beynəlxalq Riyaziyyat Olimpiadaları (1959-1997). Azərb. Resp. Təhsil Nazirliyinin sifarişi ilə çap edilmiş, “Bakı Universiteti” nəşriyyatı, Bakı, 1998, 262 s. (N.B. Kərimov, V.S. Mirzəyev)
2. Смешанная задача для линейных недивергентных параболических уравнений второго порядка кордесовского типа. Тез. межд. конф. по математике и механике, посвящ. 50-летию со дня рожд.чл. корр. НАНА проф. И.Т. Мамедова. Баку, май 2005, с. 73. (Гасанова С.Г.)
3. Критерий Винера для параболических уравнений 2-го порядка. Тез. конф. посвящ.70-летию со дня рожд. чл.-корр. НАНА Б.А. Искендерова. Баку, 2006, с. 68.
4. Смешанная задача для параболических уравнений второго порядка с разрывными коэффициентами. Тез. конф. посвящ.70-летию со дня рожд. чл. корр. НАНА Б.А. Искендерова. Баку, 2006, с. 69. (Гасанова С.Г.)
5. The unique strong solvability of the mixed boundary value problem for linear non-divergent parabolic equations of the second order in the space Sobolev. Trans. of NASA, ser. of phys.-techn. & math. sci. 2009, vol. XXIX, № 4. Math. & Mech. p. 69-88. (Hasanova S.H.)
6. Оценки для параболического потенциала в специальных областях. AMEA RMİ-n 50-illiyinə həsr olunmuş konfr. tezisləri, Bakı, 2009, səh. 110. (Делшад Гаре Гешлаги А.Я.)
7. n-мерный аналог критерия Петровского для уравнения теплопроводности. Akademik F.Q. Maqsudovun 80-illik yubileyinə həsr olunmuş beynəlxalq konfransın tezisləri. Bakı, 2010, səh. 128.
8. Критерий регулярности для граничной точки для уравнения теплопроводности в терминах границы области. Мат. конф., посвящ. 100-летнему юбилею акад. З.И. Халилова / Баку, 2011, с. 105-106.
9. On a reqularity criteria for the boundary point for the heat equation in the sence of domain boundary. Abstr. of the 4th Congress of the Turkic world mathematical   society, Baku, 1-3 July, 2011, p. 201.
10.  Theorem on increasing of positive solutions for parabolic equation of second order. Proc. of IMM / NAS of Azerb. 2013, vol. XXXIX(XLVII), p. 29-32. (Ismayilova S.H.)
11.  The unique strong Solvability of the mixed boundary value problem for linear non-divergent parabolic equations of the second order in the space Sobolev. Ukraine math. journal, №11, 2014, pp. 1443-1462.
12.  R-идентичность класса параболических операторов второго порядка. Riyaziyyat və Mexanika İnstitututnun 55 illiyinə həsr olunmuş Beynəlxalq konfransın materialları, Bakı, 2014, səh. 137-138.
13.  On equivalence of Petrovsky and Wiener criteria for the heat equation, ”Riyazi analiz, diferensial tənliklər və onların tətbiqləri“ MADEA-7 Azərbaycan-Türkiyə-Ukrayna Beynəlxalq elmi konfransının materialları, Bakı, 08-13 sentyabr, 2015, səh. 136.
14.  On equivalence of Petrovsky and Wiener criteria for the parabolic equation. International Workshop on Non Harmonic Analysis and Differential Abstracts Operators.  Baku, Azerb., 25-27 May, 2016, p. 92.
15.  The existence of global solutions of a semi linear parabolic equation with a singular potential. Caspian journal of Applied  Mathematics, Ecology and Economics, 2017, v. 5, no.1, pp. 3-15.
16.  The estimates of parabolic potential in special domains. Akif Cəfər oğlu Hacıyevin anadan olmasının 80 illik yubileyinə həsr olunmuş ”Riyaziyyat və Mexanikanın müasir problemləri” adlı Beynəlxalq konfransın materialları, AMEA Riyaziyyat və Mexanika İnstitutu, 6-8 dekabr 2017-ci il, Bakı, s. 81-82.
17.  The Estimates of Functions Type of Weirstrass Kernel in Special Domains. International Conference on Mathematical Advances and Applications (ICOMAA) Istanbul/TURKEY, 11-13 May, 2018, p. 26. (Mushfiq Aliyev)
18.  An increase theorem for positive solutions of the paraqbolic equation second order. International Conference on Mathematical Advances and Applications (ICOMAA), Istanbul/TURKEY, 11-13 May, 2018, p. 43. (Elif Deniz, Yusuf Zeren and Selim Yavuz)
19.  The broth Teorem for  Positive Solitions of the Heat. International Scientific Conference on Operators, Functions and Systems of Mathematical Physics, dedicated to the 70th anniversary of Hamlet Isakhanly, Khazar University, Baku, May 21-24, 2018, pp. 90-91. 
20.  “Riyaziyyat” 11-ci sinif. Dərslik, 2018, 320 s.
21.  DİM, “Riyaziyyat” 10-cu sinif. Test toplusu, 2018, 282 s. 
22.  DİM, “Riyaziyyat” 11-ci sinif. Test toplusu, 2018. 
23.  DİM, “Riyaziyyat”. Test toplusu, 2018, 302 s. 
24.  Bounds for the fundamental solution of the heat equation in special domains. An International  Workshop dedicated  to the    anniversary of an academician  Mirabbas  Geogja oğlu Gasymov. Spectral  Theory and its Applications. Baku, 2019, pp. 76-77. 
25.  A new proof of Wiener's criterion for the heat equation. International Scientific Conference on Operators, Functions and Systems of Mathematical Physics, Khazar University, Baku, 2019, pp. 42-43.
26.  The suffisient condition for the regularity of boundary point with respect to the Dirichlet problem for the parabolic equations second order. International conference dedicated to the 60-th anniversary of the Institute of Mathematics and Mechanics on Modern Problems of  Mathematics and Mechanics, Baku, 2019, pp. 214-216. 
27.  Test toplusu “Riyaziyyat” – DİM – “Abituriyent” – 2019, I hissə, “Polygraphic Production” mətbəəsi, 280 s.
28.  On equivalence of Petrovsky and Wiener criteria for the heat equation in simmetrical domains. 3rd İnternational Conference on Mathematical Advances and Applications (ICOMAA 2020), June 24-27 2020, Yildiz Technical University, Turkey.
29.  The Simple Proof of Regularity of the Boundary Point with Respect to the Dirichlet Problem for Heat Equation in the Symmetric Domains. 4th International E-Conference on Mathematical Advances and Applications (ICOMAA 2021), Yıldız Technical University, May 26-29, 2021, Istanbul / Turkey, p. 32.
30.  Absence of global solutions of semilinear biharmonic equation with a singular potential in exterior domains. Trans. Nation. Acad. Sci. Azerb. Ser. Phys-tech. Math. Sci. Mathematics, 42 (1), 2022, pp.72-85. (Shirmail G. Bagirov)
31.  The Wiener criterion for heat equation in terms of the potential. International Scientific Conference on “Modern Problems of Mathematics and Mechanics” dedicated to the 101st anniversary of the birth of Academician Ibragim Ibragimov, Institute of Mathematics and Mechanics of ANAS, Azerbaijan State Pedagogical University, June 29-July 1, 2022, p. 88-90.
32.  An increase theorem for the positive solutions of the parabolic equation second order. Republican scientific conference on the topic “Actual problems of mathematics and mechanics”, dedicated to the 99th anniversary of the national leader Heydar Aliyev, Baku State University, May 11-13, 2022, p.193. (A. J. Abdullayeva)
33.  A new proof of Wiener’s criterion for the heat equation. Proceedings of the International Conference on the topic “Modern Problems of Mathematics and Mechanics”, dedicated to the 100th anniversary of the national leader Heydar Aliyev, Institute of Mathematics and Mechanics of Ministry of Science and Education of the Republic of Azerbaijan, April 2023, Baku, pp. 184-186.
34.  Riyaziyyat 11. Dərslik, Radius Nəşriyyatı, 2023, 320 səh. (N. Qəhramanova, M. Kərimov)
35.  Riyaziyyat. DİM-2023, Test toplusu, I hissə (azərbaycan və rus dillərində), “CN Poliqraf” MMC, 272 səh.
36.  Wiener-type Criterion for the Heat Equation in terms of the Parabolic Potential and its corollaries. Proceedings of the XI International Conference “Modern Problems of  Mathematics and Mechanics” Dedicated to the Memory of a Genius Azerbaijani Scientist and Thinker Nasiraddin Tusi, Institute of Mathematics and Mechanics of  Ministry of Science and Education of the Republic of Azerbaijan, July  03-06, 2024, Baku, pp. 116-119.

 

Pedagogical activity

Technical Humanitarian Lyceum No. 2 named after Habib bey Mahmudbeyov – 1994-1995;
Baku State University – 1991-1997, 2003-2010, 2018-2022; 
Azerbaijan State Pedagogical University – 2011-2018;
Lyceum No. 1 with a specialization in “Mathematics, Physics and Informatics” – 2018-2022;
Azerbaijan State Oil and Industry University – 2021-Present

 

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