Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2022 15 (4)
- Authors
- Urinov, Akhmadjon K.; Khalilov, Kobiljon S.
- Contact information
- Urinov, Akhmadjon K.: Fergana State University Fergana, Uzbekistan; urinovak@mail.ru OCRID: 0000-0002-9586-1799; Khalilov, Kobiljon S.: Fergana State University Fergana, Uzbekistan; xalilov_q@mail.ru OCRID: 0000-0001-6934-6008
- Keywords
- parabolic-hyperbolic equation; integral condition; uniqueness of the solution; existence of the solution; singular coefficient
- Abstract
Non-classical problem with an integral condition for parabolic-hyperbolic equation of the third order is formulated and studied in this paper. The unique solvability of the problem was proved using the method integral equations. To do this the problem is equivalently reduced to a problem for a parabolic-hyperbolic equation of the second order with an unknown right-hand side. To study the obtained problem the formula of the Cauchy problem for hyperbolic equation with a singular coefficient and a spectral parameter was used. The solution of the first boundary value problem for the Fourier equation was also used
- Pages
- 467–481
- DOI
- 10.17516/1997-1397-2022-15-4-467-481
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/147491
Journal of Siberian Federal University. Mathematics & Physics / A Nonlocal Problem for a Third Order Parabolic-Hyperbolic Equation with a Singular Coefficient
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