Boundary value problem for mixed type equation of the third order with periodic conditions

Autor:	Kamil B Sabitov, Galina Yu Udalova
Jazyk:	English<br />Russian
Rok vydání:	2013
Předmět:	equations of the mixed type of third order direct and inverse problems spectral method uniqueness existense stability Mathematics QA1-939
Zdroj:	Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, Vol 17, Iss 3, Pp 29-45 (2013)
Druh dokumentu:	article
ISSN:	1991-8615 2310-7081
Popis:	The problem for the equation of the mixed elliptic-hyperbolic type with nonlocal boundary conditions is viewed. This problem is reduced to the inverse problem for elliptichyperbolic equation with unknown right-hand parts. The criterion of the uniqueness is established. The explicit solution is constructed as the sum of orthogonal trigonometric series of the one-dimensional spectral problem eigenfunctions. The argumentation of the series convergence under some restrictions is given. The stability of the solution by the boundary functions is proved.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/ad5891c6029b445f8e47d9a4eeb8aa10 Zobrazit plný text záznamu View record in DOAJ