Research
Research
Research areas and the publication record
Research areas
Equations of mixed type
Boundary value problems for equations of mixed type (35M10, 35M12).
Degenerate hyperbolic and parabolic equations
Second-order and degenerate hyperbolic/parabolic equations (35L10, 35K10, 35K65).
Fractional-order equations
Fractional partial differential equations (35R11).
Equations with singular coefficients and special functions
Euler–Poisson–Darboux equation, hypergeometric and special functions.
Publications
2018
2018
- Article
Solution of the Cauchy problem for the four-dimensional hyperbolic equation with Bessel operator
A.K. Urinov, S.T. Karimov
Vladikavkaz Mathematical Journal, 20(3), 57–68, 2018
- Article
A boundary-value problem of A.M. Nakhushev type for a second kind degenerated hyperbolic equation
A.K. Urinov, A.B. Okboev
Bulletin of the Institute of Mathematics, 4, 36–45, 2018
- Article
On solvability of the Cauchy-Goursat problem for the generalized Euler-Poisson-Darboux equation
A.K. Urinov, A.I. Ismoilov
Bulletin of the Institute of Mathematics, 1, 9–22, 2018
- Article
Confluent hypergeometric functions of many variables and their application to fundamental solutions of the generalized Helmholtz equation with singular coefficients
A.K. Urinov, T.G. Ergashev
Vestnik Tomskogo Gos. Universiteta. Matematika i Mekhanika, 55, 45–56, 2018
2017
2017
- Article✦
A Problem with Integral Conditions for an Elliptic-Parabolic Equation
A.K. Urinov, S.T. Nishonova
Mathematical Notes, 102(1), 68–80, 2017
- Article
Problems with an integral condition for a parabolic-hyperbolic equation with a non-characteristic line of type change
A.K. Urinov, A.O. Mamanazarov
Bulletin of NUUz, 2/2, 227–238, 2017
- Article
The Cauchy problem for an inhomogeneous iterated hyperbolic equation with a Bessel operator
A.K. Urinov, S.T. Karimov
Uzbek Mathematical Journal, 4, 160–167, 2017
2016
2016
- Monograph
Boundary value problems for parabolic-hyperbolic equations (tutorial)
A.K. Urinov
Tashkent: Navruz, 216, 2016
2015
2015
- Monograph
Boundary value problems for parabolic equations (tutorial)
A.K. Urinov
Tashkent: Mumtoz so'z, 196, 2015
2014
2014
- Monograph
Boundary value problems for ordinary differential equations (tutorial)
A.K. Urinov
Tashkent: Mumtoz so'z, 164, 2014