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

  • 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

  • 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

  • Monograph

    Boundary value problems for parabolic-hyperbolic equations (tutorial)

    A.K. Urinov

    Tashkent: Navruz, 216, 2016

2015

  • Monograph

    Boundary value problems for parabolic equations (tutorial)

    A.K. Urinov

    Tashkent: Mumtoz so'z, 196, 2015

2014

  • Monograph

    Boundary value problems for ordinary differential equations (tutorial)

    A.K. Urinov

    Tashkent: Mumtoz so'z, 164, 2014