Multipoint problem for higher-order parabolic equations in a parallelepiped

Autor:	I. R. Tymkiv, B. I. Ptashnyk
Rok vydání:	2009
Předmět:	Parallelepiped Mathematics (miscellaneous) Partial differential equation Ordinary differential equation Mathematical analysis Mathematics::Analysis of PDEs Order (group theory) Uniqueness Divided differences Space (mathematics) Parabolic partial differential equation Mathematics
Zdroj:	Nonlinear Oscillations. 12:346-357
ISSN:	1536-0059
DOI:	10.1007/s11072-010-0081-5
Popis:	We study the well-posedness of a problem for a Petrovskii-parabolic equation with coefficients depending on the space coordinates and with multipoint conditions with respect to the time variable. We establish conditions for the existence and uniqueness of the classical solution of the problem. For the proof of the existence of a solution of the problem, the method of divided differences is used. We prove a metric-type theorem on lower bounds for the small denominators that appear in the construction of the solution.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::ad2c0a08f941ce6dd4f6c1ddb4f6210f https://doi.org/10.1007/s11072-010-0081-5 Zobrazit plný text záznamu Full text from SpringerLink