01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date:
20.05.1963
E-mail:
Keywords:
hypergeometric function, fundamental solutions, expansion formulas for hypergeometric functions of several variables
Subject:
Hypergeometric functions of several variables and their application to the solution of boundary value problems for degenerate partial differential equations
Main publications:
Zadacha Koshi-Gursa dlya uravneniya tipa Eilera-Puassona-Darbu. Doklady Akademii Nauk Respubliki Uzbekistan. 1995, 11–12, s. 11–13.
Integralnoe predstavlenie obobschennogo resheniya Zadachi Koshi dlya odnogo uravneniya giperbolicheskogo tipa vtorog roda. Uzbekskii matematicheskii zhurnal, 1995, 1, s. 67–75.
Zadacha Koshi dlya vyrozhdayuschegosya giperbolicheskogo uravneniya vtorogo roda. Trudy mezhdunarodnoi nauchnoi konferentsii "Differentsialnye ravneniya s chastnymi proizvodnymi i rodstvennye problemy analiza i informatiki". 16–19 noyabrya 2004 g. Tashkent. 2004.
T. G. Ergashev, A. Hasanov, T. K. Yuldashev, “Multiple Euler integral representations for the Kampé de Fériet functions”, Chelyab. Fiz.-Mat. Zh., 8:4 (2023), 553–567
T. K. Yuldashev, T. G. Ergashev, A. K. Fayziyev, “Coefficient inverse problem for Whitham type two-dimensional differential equation with impulse effects”, Chelyab. Fiz.-Mat. Zh., 8:2 (2023), 238–248
T. K. Yuldashev, T. G. Ergashev, T. A. Abduvahobov, “Nonlinear system of impulsive integro-differential equations with Hilfer fractional operator and mixed maxima”, Chelyab. Fiz.-Mat. Zh., 7:3 (2022), 312–325
T. G. Ergashev, Z. R. Tulakova, “A problem with mixed boundary conditions for a singular elliptic equation in an infinite domain”, Izv. Vyssh. Uchebn. Zaved. Mat., 2022, no. 7, 58–72; Russian Math. (Iz. VUZ), 66:7 (2022), 51–63
T. G. Ergashev, “Expansion formulas for hypergeometric functions of two variables”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 201 (2021), 80–97
6.
T. G. Ergashev, Z. R. Tulakova, “The Dirichlet problem for an elliptic equation with several singular coefficients in an infinite domain”, Izv. Vyssh. Uchebn. Zaved. Mat., 2021, no. 7, 81–91; Russian Math. (Iz. VUZ), 65:7 (2021), 71–80
T. G. Ergashev, “Double- and simple-layer potentials for a three-dimensional elliptic equation with a singular coefficient and their applications”, Izv. Vyssh. Uchebn. Zaved. Mat., 2021, no. 1, 81–96; Russian Math. (Iz. VUZ), 65:1 (2021), 72–86
8.
T. G. Ergashev, “Potentials for a three-dimensional elliptic equation with one singular coefficient and their application”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 25:2 (2021), 257–285
2020
9.
Tuhtasin G. Ergashev, “Fundamental solutions for a class of multidimensional elliptic equations with several singular coefficients”, J. Sib. Fed. Univ. Math. Phys., 13:1 (2020), 48–57
T. G. Ergashev, A. Hasanov, “Holmgren problem for elliptic equation with singular coefficients”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 32:3 (2020), 114–126
11.
A. A. Abdullayev, T. G. Ergashev, “Poincare–Tricomi problem for the equation of a mixed elliptico-hyperbolic type of second kind”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2020, no. 65, 5–21
T. G. Ergashev, N. J. Komilova, “Holmgren problem for multudimensional elliptic equation with two singular coefficients”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2020, no. 63, 47–59
T. G. Ergashev, N. M. Safarbayeva, “Dirichlet problem for the multudimensional Helmholtz equation with one singular coefficient”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2019, no. 62, 55–67
A. K. Urinov, T. G. Ergashev, “Confluent hypergeometric functions of many variables and their application to the finding of fundamental solutions of the generalized helmholtz equation with singular coefficients”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2018, no. 55, 45–56
T. G. Ehrgashev, “The fourth double-layer potential for a generalized bi-axially symmetric Helmholtz equation”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2017, no. 50, 45–56
T. G. Ehrgashev, “Generalized solutions of the degenerate hyperbolic equation of the second kind with a spectral parameter”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2017, no. 46, 41–49
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