Basis Properties of Root Functions of a Vibrational Boundary Value Problem with Boundary Conditions Depending on the Spectral Parameter

Autor:	Z. S. Aliyev, F. M. Namazov
Rok vydání:	2020
Předmět:	0209 industrial biotechnology Partial differential equation Basis (linear algebra) General Mathematics 010102 general mathematics Mathematical analysis Root (chord) 02 engineering and technology Space (mathematics) 01 natural sciences 020901 industrial engineering & automation Homogeneous Ordinary differential equation Boundary value problem 0101 mathematics Lumped mass Analysis Mathematics
Zdroj:	Differential Equations. 56:969-975
ISSN:	1608-3083 0012-2661
DOI:	10.1134/s0012266120080017
Popis:	We study the basis properties of root functions of a spectral problem describing the bending vibrations of a homogeneous rod with a longitudinal force acting in its cross sections. Both rod ends are elastically fixed and either there is a lumped mass or a follower force acts on each of the ends. We establish a sufficient condition for the basis property of the system of root functions of this problem in the space $$L_p (0, 1)$$ , $$1
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::5eb7ea0ee26b626f627985a61340130f https://doi.org/10.1134/s0012266120080017 Zobrazit plný text záznamu Plný text ve formátu PDF Plný text ve formátu HTML
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