On a boundary value problem for a third-order parabolic-hyperbolic type equation with a displacement boundary condition in its hyperbolicity domain

Autor:	Zhiraslan Anatolievich Balkizov
Jazyk:	English<br />Russian
Rok vydání:	2020
Předmět:	degenerate hyperbolic equation equation with multiple characteristics parabolic-hyperbolic equation of third order problems with a shift Mathematics QA1-939
Zdroj:	Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, Vol 24, Iss 2, Pp 211-225 (2020)
Druh dokumentu:	article
ISSN:	1991-8615 2310-7081
DOI:	10.14498/vsgtu1694
Popis:	In the article, we investigate a boundary-value problem with a third-order inhomogeneous parabolic-hyperbolic equation with a wave operator in a hyperbolicity domain. A linear combination with variable coefficients in terms of derivatives of the sought function on independent characteristics, as well as on the line of type and order changing is specified as a boundary condition. We have established necessary and sufficient conditions that guarantee existence and uniqueness of a regular solution to the problem under study. In some cases, a solution representation is written out explicitly.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/8112a06d245e4102a53e28ad5e9906b1 Zobrazit plný text záznamu View record in DOAJ