The correct solvability of $(m+1)$-pointed problem $(m≥2)$ for a parabolic pseudodifferential equation is established for the class of generalized functions of distribution type.
[1] Dezin A.A. Operators with the first derivative by time and non-local boundary conditions / A.A. Dezin // Izv. Academy of Sciences of the SSR. Ser. mate. - 1967. - T. 31, â„– 1. - P. 117 - 131.
[2] Romanko V.K. Boundary problems for one class of differential operators / V.K. Romanko // Difference. equations - 1974. - T. 10, â„– 1. - P. 117 - 131.
[3] Romanko V.K. Boundary problems for some differential operator equations / V.K. Romanko // Dokl. Academy of Sciences of the USSR. - 1976. - T. 227, â„– 4. - P. 812 - 816.
[4] Nonlocal boundary value problems for partial differential equations / [Ptashnyk B.Y., Ilkiv V.S., Kmit I.Ya., Polishchuk V.M.]. - K.: Naukova Dumka, 2002. - 416 p.
[5] Matiychuk M.I. Parabolic singular boundary value problems / Mykhailo Ivanovich Matiychuk. - Kyiv: Institute of Mathematics of the National Academy of Sciences of Ukraine, 1999. - 176 p.
[6] Gorodetskyi V.V. Dirichlet problem for one class of evolutionary equations / Vasyl Gorodetskyi, Yaroslav Drin // Scientific Bulletin of Chernivtsi University: 3b. scientific works. Issue. 336 - 337. Mathematics. - Chernivtsi: Ruta, 2007. - P. 61-78.
[7] Gorodetskyi V.V. Boundary properties of smooth solutions of parabolic type equations in a layer / Vasyl Vasyl Horodetskyi. - Chernivtsi: Ruta, 1998. - 225 p.
[8] Gelfand I. M. Spaces of basic and generalized functions / I.M. Gelfand, G.E. Shilov. - M.: Fizmatgiz, 1958. - 307 p.
[9] Gorodetsky V.V. Cauchy problem for evolutionary equations of infinite order / Vasyl Vasylovich Gorodetsky. - Chernivtsi: Ruta, 205. - 291 p.
- ACS Style
- Drin , Y.M. Nonlocal multipoint problem for pseudodifferential equations of parabolic type. Bukovinian Mathematical Journal. 2018, 1
- AMA Style
- Drin YM. Nonlocal multipoint problem for pseudodifferential equations of parabolic type. Bukovinian Mathematical Journal. 2018; 1(501).
- Chicago/Turabian Style
- Yaroslav Mykhailovych Drin . 2018. "Nonlocal multipoint problem for pseudodifferential equations of parabolic type". Bukovinian Mathematical Journal. 1 no. 501.