01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date:
3.10.1959
E-mail:
Keywords:
integral geometry, integral equations of first kind, inversion formulae, uniqueness of solution, stability estimates
UDC:
517.946
Subject:
Ill-posed problems of mathematical physics and analysis, weakly and strongly ill-posed integral geometry problems, integral equations
Main publications:
Begmatov Akram Khasanovich, “Weakly ill-posed Volterra-type problems of integral geometry”, Doklady Mathemathics, 54:1 (1996), 536–537
Begmatov Akram Khasanovich, “Problems of integral geometry and special operator equations of Volterra type.”, Doklady Mathemathics, 324:3 (1992), 606–609
Begmatov Akram Khasanovich, “Problems of integral geometry in the three-dimensional space corresponding to cones and cone generators”, Doklady Mathemathics, 57:1 (1998), 117–118
Begmatov Akram Khasanovich, “Problems of integral geometry for special curves and surfaces with singularities in vertices”, Doklady Mathemathics, 57:1, 21–233
Begmatov Akram Khasanovich, “Two new classes of problems in integral geometry”, Doklady Mathemathics, 57:3 (1998), 427–429
Akram H. Begmatov, “The integral geometry problem for a family of cones in the $n$-dimensional space”, Siberian Math. J., 37:3 (1996), 430–435
2.
Akram H. Begmatov, “Two classes of weakly ill-posed problems of integral geometry on the plane”, Siberian Math. J., 36:2 (1995), 213–218
3.
Akram. H. Begmatov, “A certain inversion problem for the ray transform with incomplete data”, Siberian Math. J., 42:3 (2001), 428–434
4.
Akram. H. Begmatov, “Volterra problems of integral geometry in the plane for curves with singularities”, Sibirsk. Mat. Zh., 38:4 (1997), 723-737
5.
Akram. H. Begmatov, M. E. Muminov, Z. H. Ochilov, “The Problem of Integral Geometry of Volterra Type with a Weight Function of a Special Type”, Mathematics and Statistics, 3(5) (2015), 113–120 http://www.hrpub.org/download/20151130/MS1-13404171.pdf
Akram Kh. Begmatov, A. Ismoilov, A. Dauletiyarov, Yesmirza Tasqinov, “New classes of integral geometry problems of Volterra type
in three-dimensional space”, INTERNATIONAL SCIENTIFIC AND PRACTICAL CONFERENCE ON ACTUAL PROBLEMS OF MATHEMATICAL MODELING AND INFORMATION TECHNOLOGY (2–3 May 2023
Nukus, Uzbekistan), International Scientific and Practical Conference on Actual Problems of Mathematical Modeling and Information Technology – APMMIT-2023, 2024, 1-8 https://pubs.aip.org/aip/acp/article-abstract/3147/1/020004/3289236/New-classes-of-integral-geometry-problems-of?redirectedFrom=fulltext
7.
A. KH. BEGMATOV1, A. S. ISMOILOV2, D. G. KHUDOYBERDIEV, “WEAKLY ILL-POSED PROBLEMS OF INTEGRAL GEOMETRY
ON THE PLANE WITH PERTURBATION”, Journal of the Balkan Tribological Association, 2023, no. No 3, 273–289 (to appear) https://scibulcom.net/en/article/1plwPgwjedXMU8kKPEHP
8.
A. Kh. BEGMATOV, A. S. ISMOILOV, “ON A PROBLEM OF INTEGRAL GEOMETRY OVER A FAMILY
OF PARABOLAS WITH PERTURBATION”, Journal of the Balkan Tribological Association, 2021, Vol. 27, no. No 4, 497–509 https://openurl.ebsco.com/EPDB
9.
Akram Kh. Begmatov, Z. Kh. Ochilov, “D’Alembert Mappings for a Class of Symmetric Domains”, Doklady Mathematics, Volume 80:Issue 1 (2009), 506-507
10.
Akram Kh. Begmatov, Z. Kh. Ochilov, “Integral Geometry Problem with a Discontinuous Weight Function”, Doklady Mathematics, Volume 80:No 3 (2009), 823–825
Akram Kh. Begmatov, Z. Kh. Ochilov, “Recovering of function set by integrals along a curve in the plane (English)”, ll-posed and non-classical problems of mathematical physics and analysis. Proceedings of the international conference, Samarkand State University, Samarkand, Uzbekistan, September 11–15, 2000, eds. Lavrent’ev, M. M. (ed.) et al.,, Utrecht: VSP (ISBN 90-6764-380-7/hbk). Inverse and Ill-Posed Problems Series, 2003
13.
Akram H. Begmatov, Akbar H. Begmatov, “Problems of integral geometry on curves and surfaces in Euclidean space. (English)”, Ill-posed and non-classical problems of mathematical physics and analysis. Proceedings of the international conference, (Samarkand State University, Samarkand, Uzbekistan, September 11–15, 2000), eds. Edited by M. M. Lavrentʹev and S. I. Kabanikhin, Utrecht: VSP (ISBN 90-6764-380-7/hbk). Inverse and Ill-Posed Problems Series, 2003, 1–18
Akram H. Begmatov, “Reconstruction a function by means of integrals over family of conical surfaces (English)”, Integral methods in sceince and engineering, eds. B. Bertram, C. Constanda, A. Struthers, editors, Chapman & Hall/CRC reseach notes in mathematics series. Boca Raton, London, New York, Washington, 2000, 57–61
16.
Akbar H. Begmatov, Akram H. Begmatov, “Inversion of the X-ray transform and the Radon transform with incomlete data”, Integral methods in sceince and engineeringeds. , B. Bertram, C. Constanda, A. Struthers, editors, Chapman & Hall/CRC reseach notes in mathematics series. Boca Raton, London, New York, Washington, 2000, 51-56
17.
“Akram Kh Begmatov”, “O nekotorykh zadachakh integralnoi geometrii v polose i zadache obrascheniya luchevogo preobrazovaniya s nepolnymi dannymi”, Doklady RAN, 368:# 3 (1999), 295–298 http://www.mathnet.ru/php/archive.phtml?wshow=paper&jrnid=dan&paperid=2948&option_lang=rus
18.
“Akram Kh Begmatov”, Nekotorye klassy slabo i silno nekorrektnykh zadach integralnoi geometrii, “Preprint № 50”, RAN. Sib. otd-nie. In-t matematiki, Novosibirsk, 1998 , 22 pp. http://ibs.natlib.uz:8011/ru-RU/Record/Details/9ff930b2-8fd7-47b1-a1c1-324e64c951b9#.XAZ4yDj7TIU
A. H. Begmatov, “Volterra-type problems of integral geometry over a family of rays in three-dimensional space”, Fundam. Prikl. Mat., 3:4 (1997), 1109–1115
21.
Akram H. Begmatov, “On a class of Weakly ill-posed problems of integral geometry in three-dimensional space”, Journal of Inverse and Ill-Posed Problems, Vol. 3:No 3 (1995), 243–247
22.
Akram H. Begmatov, “Weakly ill-posed problems of integral geometry of Volterra type”, Dokl. Akad. Nauk, 349:3 (1996), 297–298
23.
A. H. Begmatov, “Problems of integral geometry and special operator equations of Volterra type”, Dokl. Math., 45:3 (1992), 606–609