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ЖУРНАЛЫ // Журнал Сибирского федерального университета. Серия «Математика и физика»

Журн. СФУ. Сер. Матем. и физ., 2025, том 18, выпуск 1, страницы 14–24 (Mi jsfu1217)

Global solvability of a kernel determination problem in 2D heat equation with memory
Durdumurod K. Durdiev, Zhavlon Z. Nuriddinov

Список литературы

1. L.Pandolfi, Systems with Persistent Memory, Springer Nature Switzerland, 2021  mathscinet  zmath
2. D.K.Durdiev, Z.D.Totieva, Kernel Determination Problems in Hyperbolic Integro-Differential Equations, Springer, Singapore, 2023  mathscinet  zmath
3. S.Avdonin, S.Ivanov, J.Wang, “Inverse problems for the heat equation with memory”, Inverse problems and imaging, 13:1 (2019), 31–38  crossref  mathscinet  zmath
4. D.Guidetti, “Reconstruction of a convolution kernel in a parabolic problem with a memory term in the boundary conditions”, Bruno Pini Mathematical Analysis Seminar, 4:1 (2013), 47–55  crossref  mathscinet
5. C.Cavaterra, D.Guidetti, “Identification of a convolution kernel in a control problem for the heat equation with a boundary memory term”, Annali di Matematica, 193 (2014), 779–816  crossref  mathscinet  zmath
6. D.K.Durdiev, J.J.Jumaev, “Memory kernel reconstruction problems in the integro-differential equation of rigid heat conductor”, Mathematical Methods in the Applied Sciences, 45 (2022), 8374–8388  crossref  mathscinet  zmath
7. D.K.Durdiev, Zh.Zh.Zhumaev, “One-dimensional inverse problems of finding the kernel of the integro-differential heat equation in a bounded domain”, Ukrains'kyi Matematychnyi Zhurnal, 73:11 (2021), 1492–1506  crossref  mathscinet
8. D.K.Durdiev, Zh.Zh.Zhumaev, “On determination of the coefficient and kernel in an integro-differential equation of parabolic type”, Eurasian Journal of Mathematical and Computer Applications, 11:1 (2023), 49–65  crossref
9. D.K.Durdiev, Z.Z.Nuriddinov, “Determination of a multidimensional kernel in some parabolic integro-differential equation”, Journal of Siberian Federal University. Mathematics and Physics, 14:1 (2021), 117–127  mathnet  crossref  mathscinet  zmath
10. D.K.Durdiev, Z.Z.Nuriddinov, “Uniqueness of the Kernel Determination Problem in a Integro-Differential Parabolic Equation with Variable Coefficients”, Russian Mathematics, 67:11 (2023), 1–11  mathnet  crossref  mathscinet  zmath
11. S.Avdonin, S.Ivanov, J.Wang, “Inverse problems for the heat equation with memory”, Inverse problems and imaging, 13:1 (2019), 31–38  crossref  mathscinet  zmath
12. D.Guidetti, “Reconstruction of a convolution kernel in a parabolic problem with a memory term in the boundary conditions”, Bruno Pini Mathematical Analysis Seminar, 4:1 (2013), 47–55  crossref  mathscinet
13. D. Guidetti, “Some inverse problems of identification for integrodifferential parabolic systems with a boundary memory term”, Discrete $\&$ Continuous Dynamical Systems – S, 8:4 (2015), 749–756  crossref  mathscinet  zmath
14. A.L.Karchevsky, A.G. Fatianov, “Numerical solution of the inverse problem for a system of elasticity with the aftereffect for a vertically inhomogeneous medium”, Sib. Zh. Vychisl. Mat., 4:3 (2001), 259–268  mathnet  zmath
15. U.D.Durdiev, “Numerical method for determining the dependence of the dielectric permittivity on the frequency in the equation of electrodynamics with memory”, Sib. Elektron. Mat. Izv., 17 (2020), 179–189  mathnet  crossref  mathscinet  zmath
16. Z.R.Bozorov, “Numerical determining a memory function of a horizontally-stratified elastic medium with aftereffect”, Eurasian journal of mathematical and computer applications, 8:2 (2020), 4–16  crossref
17. S.I.Kabanikhin, A.L.Karchevsky, A.Lorenzi, “Lavrent'ev Regularization of Solutions to Linear Integro-differential Inverse Problems”, J. Inverse Ill-Posed Probl., 2:1 (1993), 115–140  mathscinet  zmath
18. A.Ladyzhenskaya, V.A.Solonnikov, N.N.Ural'tseva, Linear and quasilinear equations of parabolic type, Nauka, M., 1967  mathscinet  zmath


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