academician of Academy of Sciences of Republic of Uzbekistan
Associate professor
Candidate of physico-mathematical sciences
Birth date:
5.12.1989
Keywords:
inverse problem
integral equation integro-differential equation, inverse problem, kernel, spectral problem, fixed point theorem, Gronwall inequality, existence, uniqueness.
Subject:
Differensial equation differential equation and mathematical physics
Main publications:
Miller R.K., “An integrodifferential equation for rigid heat conductors with memory”, Journal of mathematical analysis and applications, 66 (1978), 313-332
Miller R.K., “An integrodifferential equation for rigid heat conductors with memory”, Journal of mathematical analysis and applications, 66 (1978), 313-332
Janno J., Wolfersdorf L.V.,, “Inverse problems for identification of memory kernels in heat flow”, Ill-Posed Problems, 4:1 (1996), 39-66
J. J. Jumayev, Z. R. Bozorov, D. K. Durdiev, “Numerical solution of the problem of finding two unknowns in time-fractional diffusion equations”, Izv. Vyssh. Uchebn. Zaved. Mat., 2025, no. 7, 36–52
2.
D. K. Durdiev, J. J. Jumayev, “Solvability of a coefficient recovery problem for a time-fractional diffusion equation with periodic boundary and overdetermination conditions”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 29:1 (2025), 21–36
2023
3.
D. K. Durdiev, J. J. Jumaev, “Inverse problem of determining the kernel of integro-differential fractional diffusion equation in bounded domain”, Izv. Vyssh. Uchebn. Zaved. Mat., 2023, no. 10, 22–35; Russian Math. (Iz. VUZ), 67:10 (2023), 1–13
D. K. Durdiev, J. J. Jumaev, D. D. Atoev, “Inverse problem on determining two kernels in integro-differential equation of heat flow”, Ufimsk. Mat. Zh., 15:2 (2023), 120–135; Ufa Math. J., 15:2 (2023), 119–134
D. K. Durdiev, J. J. Jumayev, D. D. Atoev, “Letter to the Editor: Correction to the “Kernel determination problem in an integro-differential equation of parabolic type with nonlocal condition” [Vestn. Udmurt. Univ. Mat. Mekh. Komp'yut. Nauki, 2023, vol. 33, issue 1, pp. 90-102]”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 33:2 (2023), 382–384
6.
D. K. Durdiev, J. J. Jumayev, D. D. Atoev, “Kernel determination problem in an integro-differential equation of parabolic type with nonlocal condition”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 33:1 (2023), 90–102