Исследования
Исследования
Научные направления и публикации
Направления исследований
Уравнения смешанного типа
Краевые задачи для уравнений смешанного типа (35M10, 35M12).
Вырождающиеся гиперболические и параболические уравнения
Гиперболические и параболические уравнения второго порядка (35L10, 35K10, 35K65).
Уравнения дробного порядка
Дробные уравнения в частных производных (35R11).
Уравнения с сингулярными коэффициентами и специальные функции
Уравнение Эйлера–Пуассона–Дарбу, гипергеометрические и специальные функции.
Публикации
2022
2022
- Статья
A Nonlocal Problem for a Third Order Parabolic-Hyperbolic Equation with a Singular Coefficient
A.K. Urinov, K.S. Khalilov
Journal of Siberian Federal University. Mathematics & Physics, 15(4), 467–481, 2022
- Статья
On the solvability of nonlocal initial-boundary value problems for a partial differential equation of high even order
A.K. Urinov, M.S. Azizov
Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 32(2), 240–255, 2022
- Статья✦
On a Cauchy type problem for a second kind degenerating hyperbolic equation
A.K. Urinov, A.B. Okboev
Lobachevskii Journal of Mathematics, 43(3), 793–803, 2022
2021
2021
- Статья
Dirichlet problem with three singular coefficients
A.K. Urinov, K.T. Karimov
Journal of Mathematical Sciences, 254(6), 731–742, 2021
- Статья
About the modified Cauchy problem for a second kind degenerated hyperbolic equation
A.K. Urinov, D.A. Usmonov
Bulletin of the Institute of Mathematics, 4(1), 46–63, 2021
2020
2020
- Статья
Unique solvability of a nonlocal problem with shift for a parabolic-hyperbolic equation
A.K. Urinov, A.O. Mamanazarov
Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 30(2), 270–289, 2020
- Статья
On the Cauchy Problem for the Iterated Generalized Two-axially Symmetric Equation of Hyperbolic Type
A.K. Urinov, S.T. Karimov
Lobachevskii Journal of Mathematics, 41(1), 102–110, 2020
- Статья
Modified Cauchy Problem for one Degenerate Hyperbolic Equation of the Second Kind
A.K. Urinov, A.B. Okboev
Ukrainian Mathematical Journal, 72(1), 114–135, 2020
- Статья
Nonlocal boundary value problems for a three-dimensional elliptic equation with singular coefficients in a semi-infinite parallelepiped
A.K. Urinov, S.T. Karimov
Siberian Electronic Mathematical Reports, 17, 161–178, 2020
2019
2019
- Монография
Fourier series and their applications (tutorial)
A.K. Urinov
Fergana: Universitet, 2019
- Статья
The Unique Solvability of Boundary Value Problems for a 3D Elliptic Equation With Three Singular Coefficients
A.K. Urinov, K.T. Karimov
Russian Mathematics, 63(2), 61–72, 2019
- Статья
Solution of the analog of the Cauchy problem for the iterated multidimensional Klein-Gordon-Fock equation with the Bessel operator
A.K. Urinov, S.T. Karimov
Scientific Bulletin of Fergana State University, 6, 5–12, 2019
- Статья
Boundary Value Problem for a Fourth Order Equation with a Singular Coefficient in a Rectangle
A.K. Urinov, M.S. Azizov
Scientific Bulletin of Namangan State University, 11, 26–37, 2019
2018
2018
- Монография✦
Problems for parabolic-hyperbolic equations with spectral parameters
A.K. Urinov
Tashkent: Mumtoz so'z, 108, 2018
- Монография
Eigenvalue problems and their application to solving boundary value problems (tutorial)
A.K. Urinov
Tashkent: Universitet, 104, 2018
- Статья
A problem with modified initial conditions for a degenerate hyperbolic equation of the second kind with a spectral parameter
A.K. Urinov, A.B. Okboev
Uzbek Mathematical Journal, 2, 150–159, 2018