Mean Value Theorems and Properties of Solutions of Linear Differential Equations

Autor:	I. P. Polovinkin, M. V. Polovinkina
Rok vydání:	2020
Předmět:	Partial differential equation Linear differential equation Homogeneous differential equation Generalization Homogeneous Scheme (mathematics) Mathematical analysis Mean value Hyperbolic partial differential equation Mathematics
Zdroj:	Trends in Mathematics ISBN: 9783030359133
DOI:	10.1007/978-3-030-35914-0_26
Popis:	This paper describes an accompanying distributions technique that allows to obtain mean value formulas for linear homogeneous partial differential equations. One of these formulas can be interpreted as a generalization of the Asgeirsson principle for the string vibration equation into the case of an arbitrary natural order. In addition, this mean value formula is an exact difference scheme for a two-dimensional linear homogeneous equation with a symbol factorized up to linear factors.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::60b3acff8a1a2807817a27c022760276 https://doi.org/10.1007/978-3-030-35914-0_26 Zobrazit plný text záznamu