On the report year, according to priority directions affirmed by the Presidium of ANAS, at IMM, the research works were carried out on 18 themes and 104 works (75 on mathematics, 29 on mechanics). The research works carried out at IMM covers 6 directions on mathematics and mechanics (including 5 on mathematics, 1 on mechanics).

On the report year 7 scientific works were accepted as important results.

1. “Convergence of expansions of third order differential operators in eigen functions”. Ex.: prof. Veli Kurbanov. The paper was published: V.M. Kurbanov, Yu.G. Abbasova “Сходимость спектрального разложения функции из класса по собственным вектор-функциям дифференциального оператора третьего порядка”. Украинский Математический Журнал 2017, т. 69, № 6, стр. 719-733. 2. “Kolmogorov type compactness criterion in variable order weighted Lebesgue spaces, the criteria for Riesz potential and its commutators in Orlicz spaces”. Ex. Corr. member of ANAS, prof. Vagif Guliyev, prof. of ANAS, doct. ph. math. sci. Rovshan Bandaliyev. The paper was published: F. Deringoz, V.S. Guliyev, S.G. Hasanov, Riesz potential and its commutators on Orlicz spaces. Journal of Inequalities and Applications, (2017) 2017:75, 18 pp. (İF-0.791, Q2).
3. “Frame properties of the part of a system of exponents with a coefficient in Hardy classes”. Ex.: corr. member of ANAS, prof. Bilal Bilalov, ass. prof. Sabina Sadigova. The paper was published: Bilalov B.T., Sadıqova S.R. Frame properties of the part of a system of exponents with degenerate coefficient in Hardy classes. Georgian Mathematical Journal, 24(3)(2017), 325-338(İF-0,290, Q4).
4. “A Sawer-type sufficient condition for the Poincare inequality”. Ex.: prof. Farman Mamedov, doct. student Yashar Shukurov. The paper was published: Farman Mamedov, Yashar Shukurov, A Sawyer-type sufficient condition for the weighted Poincaré inequality, Positivity 1-13 Springer International Publishing.
5. “Structural properties of linear and nonlinear differential operators”. Ex.: prof. Ziyatkhan Aliyev. The paper was published: Ziyatkhan S. Aliyev, Sevinc B. Guliyeva, Properties of natural frequencies and harmonic bending vibrations of a rod at one end of which is concentrated inertial load, Journal of Differential Equations, 263 (9) (2017), 5830-5845 (if – 1.988, Q1). 6. “Necessary conditions for optimal control problems described by discrete and continuous systems with retard in the control function”. Ex.: corr. member of ANAS, prof. Misir Mardanov, doct. of phys. math. sci. Telman Melikov. The paper was published: Misir J. Mardanov, Telman K. Melikov Analogue of the Kelley condition for optimal systems with retarded control, International Journal of Control. 90(7)(2017),1299-1307 (IF =1.880, Q1). 7. “Application of influence of boundary layers in heterogeneous fluid flow on non-Stationary processes”. Ex.: cand. techn. Sci. Eldar Abbasov. The paper was published: Шахвердиев А.Х., Панахов Г.М., Аббасова Э.М. Влияние физико-химических свойств и обводненности пластового флюида на эффективность газлифта // Нефтяное хозяйство, №6. 2017. – С. 72 – 76.

In on 25-26 may, 2018, in collaboration with Sumgayit State University, IMM has held the international Conference “Theoretical and applied problems of mathematics”.

On November 2, 2017, together with Baku State University, IMM held an event devoted to 100 years of famous scientist, science organizer, corr.-member of ANAS, doctor of phys. math. sci. prof. Goshgar Ahmedov. On 16-17 November, 2017, Ministry of Education and Science of Kaluga province of Russian Federation and IMM held the III International scientific practical conference “Mathematical simulation in economy, control and education”.

On 06-08, 2017 the International Conference “Modern Problems of Mathematics and Mechanics devoted to 80 years of the honoured scientist, acad. Akif Gadjiev was held by IMM.

School of Young Mathematicians was created by IMM and Baku City Education administration and its work get started on February 22, 2017. In general 14 events were held, including 11 lectures and 3 seminars. Video shooting of the activity and lessons of ‘School of Young Mathematicians may be found in official web. Site of IMM www.imm.az and You Tube channel of IMM (https://www.youtube.com/channel/UCpvJuZH8gn2yXBmjLZOooFQ).

On the report year the institute seminar has continued its work per a week. At these seminars, the talks of the institute collabrators and the scientists from foreign countries such as prof. of “Mathematical Analysis” chair of mechanics-mathematics faculty of M.V. Lomonosov Moscow State University, Garakhan Mirzoyev and prof. of this University Andrey Firsikov were listened.

On the report year, 386 scientific works including 198 papers, (140 of them in foreign journals), 167 abstracts, including 71 in abroad, 15 scientific popular works, 3 books, 1 monograph and one text-book of the institute collaborators were published. 67 papers were published in impact factor “Thomson Reuters” international scientific base journals. The institute collaborators works were cited 1300 times. On the report year, at the dissertation Board of IMM D.01.111, 7 doctor of sciences and 8 philosophy doctor dissertations were defended.

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