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
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
2.
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
4.
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