Termez State University | Uzbekistan
Mr. Miraxmat Mirsaburov is a mathematician whose research focuses on boundary-value and nonlocal problems for mixed-type and degenerate hyperbolic equations, with particular emphasis on singular coefficients, transmission conditions, and characteristic-based constraints. Across a corpus of 41 documents, his work—which has accrued 81 citations yields an h-index of 5—systematically develops existence, uniqueness, and formulation results for classes of Gellerstedt-, Tricomi- and Bitsadze–Samarskii–type problems, addressing challenges such as missing Goursat or shift conditions, Frankl and Bitsadze–Samarskii analogues on degeneration segments, and problems posed in unbounded domains. His publications combine rigorous analytical techniques with careful handling of singularities and degeneracy lines, producing solvability theorems and novel transmission conditions that extend classical theory to more physically and geometrically complex settings. Collaborative work with colleagues has produced advances in generalizing the Tricomi problem, treating singular coefficients, and proposing integral and boundary frameworks adaptable to mixed elliptic–hyperbolic regimes. Mirsaburov’s contributions appear in respected journals (including Russian Mathematical Surveys, Differential Equations, and Lobachevskii Journal of Mathematics), and his sustained focus on mixed-type equations has provided useful tools and formulations for researchers addressing applied problems where equation type and coefficient singularities complicate classical approaches.
Profile : Scopus
Featured Publications
Mirsaburov, M., & Mamatmuminov, D. T. (2025). A problem with an analogue of the Bitsadze–Samarskii condition on the segment of degeneracy and an internal segment parallel to it in the domain for a certain class of degenerate hyperbolic equations. Russian Mathematics, 69, 19–23.
Mirsaburov, M., & Turaev, R. N. (2024). On a nonlocal problem for the Gellerstedt equation with singular coefficients. Differential Equations, 60, 1074–1086.
Mirsaburov, M. M., & Allakova, S. I. (2024). An analogue of the Zhegalov problem with data on internal characteristics for a mixed-type equation with a singular coefficient. Lobachevskii Journal of Mathematics, 45, 5637–5648.
Mirsaburov, M., Berdyshev, A. S., Ergasheva, S. B., & Makulbay, A. B. (2024). The problem with the missing Goursat condition at the boundary of the domain for a degenerate hyperbolic equation with a singular coefficient. Bulletin of the Karaganda University: Mathematics Series, 2(114), 147–164.
Mirsaburov, M., & Turaev, R. N. (2023). A problem in an unbounded domain with combined Tricomi and Frankl conditions on one boundary characteristic for one class of mixed-type equations. Russian Mathematics, 67, 34–46.
Mirsaburov, M., & Ergasheva, S. B. (2023). The problem in the unbounded domain with the Frankl condition on the segment of the degeneration line and with a missing Gellerstedt condition for a class of mixed-type equations. Russian Mathematics, 67, 18–26.
Mirsaburov, M., & Khurramov, N. K. (2021). A problem with local and nonlocal conditions on the boundary of the ellipticity domain for a mixed-type equation. Russian Mathematics, 65, 68–81.
V., M., & Islomov, N. B. (2021). Problem with a Bitsadze–Samarskii condition on parallel characteristics for a mixed-type equation of the second kind. Differential Equations, 57, 1358–1371.
Mirsaburov, M., Begaliev, O., & Khurramov, N. K. (2019). Generalization of the Tricomi problem. Differential Equations, 55, 1084–1093.
Mirsaburov, M., & Khurramov, N. (2020). A problem with the Bitsadze–Samarskii condition on the characteristics of one family and with general transmission conditions on the degeneration line for the Gellerstedt equation with a singular coefficient. Differential Equations, 56, 1050–1071.
Mirsaburov, M. (2018). The problem with missing shift condition for the Gellerstedt equation with a singular coefficient. Russian Mathematics, 62, 44–54.