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 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
2023
2.
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
2021
3.
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
2015
4.
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, 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
9.
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, “A certain inversion problem for the ray transform with incomplete data”, Siberian Math. J., 42:3 (2001), 428–434
2000
12.
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
13.
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
1999
14.
“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
1998
15.
“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
18.
Akram. H. Begmatov, “Volterra problems of integral geometry in the plane for curves with singularities”, Sibirsk. Mat. Zh., 38:4 (1997), 723-737
1996
19.
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
20.
Akram H. Begmatov, “Weakly ill-posed problems of integral geometry of Volterra type”, Dokl. Akad. Nauk, 349:3 (1996), 297–298
1995
21.
Akram H. Begmatov, “Two classes of weakly ill-posed problems of integral geometry on the plane”, Siberian Math. J., 36:2 (1995), 213–218
22.
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
1992
23.
A. H. Begmatov, “Problems of integral geometry and special operator equations of Volterra type”, Dokl. Math., 45:3 (1992), 606–609
2024
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