- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2022 15 (5)
- Authors
- Safarov, Jurabek Sh.
- Contact information
- Safarov, Jurabek Sh.: Institute of Mathematics AS of the Republic of Uzbekistan Tashkent, Uzbekistan; Tashkent University of Information Technologies Tashkent, Uzbekistan; j.safarov65@mail.ru; jurabek_safarov@mail.ru OCRID: 0000-0001-9249-835X
- Keywords
- integro-differential equation; inverse problem; delta function; integral equation; Banach theorem
- Abstract
A multidimensional inverse problem of determining the kernel of the integral term of an integro-differential wave equation is considered. In the direct problem it is required to find the dis- placement function from the initial-boundary value problem. In the inverse problem it is required to determine the kernel of the integral term that depends on both the temporal and one spatial variable. Local unique solvability of the problem posed in the class of functions continuous in one of the variables and analytic in the other variable is proved with the use of the method of scales of Banach spaces of real analytic functions
- Pages
- 651–662
- DOI
- 10.17516/1997-1397-2022-15-5-651-662
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/148522
Journal of Siberian Federal University. Mathematics & Physics / Two-dimensional Inverse Problem for an Integro-differential Equation of Hyperbolic Type
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