Перейти до основного вмісту
Nonlocal multipoint problem for pseudodifferential equations of parabolic type
Drin Yaroslav Mykhailovych 1
1 Department of Mathematical Problems of Management and Cybernetics, Yuriy Fedkovych Chernivtsi National University, Chernivtsi, 58000, Ukraine
Keywords: nonlocal multipoint problem, pseudodifferential equations of parabolic type
Abstract

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.

References

[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.

Cite
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.
Export
We use own, third-party cookies, and localStorage files to analyze web traffic and page activities. Privacy Policy Settings