About the spectral problem arising from robotic manipulator mechanics

A spectral boundary problem of special type containing a spectral parameter in the boundary condition is completely solved in this paper. The characteristic equation for spectrum points determination is obtained, the energy innerproduct is derived, and the orthonormal system of the eigenfunctions is...

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Main Authors: V. I. Voytitsky, M. Y. Zlobina, Y. P. Kubyshkin
Format: Article
Language:English
Published: Yaroslavl State University 2009-09-01
Series:Моделирование и анализ информационных систем
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Online Access:https://www.mais-journal.ru/jour/article/view/948
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author V. I. Voytitsky
M. Y. Zlobina
Y. P. Kubyshkin
author_facet V. I. Voytitsky
M. Y. Zlobina
Y. P. Kubyshkin
author_sort V. I. Voytitsky
collection DOAJ
description A spectral boundary problem of special type containing a spectral parameter in the boundary condition is completely solved in this paper. The characteristic equation for spectrum points determination is obtained, the energy innerproduct is derived, and the orthonormal system of the eigenfunctions is built up.
format Article
id doaj-art-c59253f848964444a1ea177116ea44e1
institution DOAJ
issn 1818-1015
2313-5417
language English
publishDate 2009-09-01
publisher Yaroslavl State University
record_format Article
series Моделирование и анализ информационных систем
spelling doaj-art-c59253f848964444a1ea177116ea44e12025-08-20T03:22:04ZengYaroslavl State UniversityМоделирование и анализ информационных систем1818-10152313-54172009-09-011632228689About the spectral problem arising from robotic manipulator mechanicsV. I. Voytitsky0M. Y. Zlobina1Y. P. Kubyshkin2Таврический национальный университет им. В.И. ВернадскогоОАО "Славнефть-ЯНОС"Ярославский государственный университет им. П.Г. ДемидоваA spectral boundary problem of special type containing a spectral parameter in the boundary condition is completely solved in this paper. The characteristic equation for spectrum points determination is obtained, the energy innerproduct is derived, and the orthonormal system of the eigenfunctions is built up.https://www.mais-journal.ru/jour/article/view/948spectral boundary problemeigenfunctionseigenvaluescharacteristic equation
spellingShingle V. I. Voytitsky
M. Y. Zlobina
Y. P. Kubyshkin
About the spectral problem arising from robotic manipulator mechanics
Моделирование и анализ информационных систем
spectral boundary problem
eigenfunctions
eigenvalues
characteristic equation
title About the spectral problem arising from robotic manipulator mechanics
title_full About the spectral problem arising from robotic manipulator mechanics
title_fullStr About the spectral problem arising from robotic manipulator mechanics
title_full_unstemmed About the spectral problem arising from robotic manipulator mechanics
title_short About the spectral problem arising from robotic manipulator mechanics
title_sort about the spectral problem arising from robotic manipulator mechanics
topic spectral boundary problem
eigenfunctions
eigenvalues
characteristic equation
url https://www.mais-journal.ru/jour/article/view/948
work_keys_str_mv AT vivoytitsky aboutthespectralproblemarisingfromroboticmanipulatormechanics
AT myzlobina aboutthespectralproblemarisingfromroboticmanipulatormechanics
AT ypkubyshkin aboutthespectralproblemarisingfromroboticmanipulatormechanics