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
Subjects:
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.
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spelling doaj.art-c59253f848964444a1ea177116ea44e12023-03-13T08:07:30ZengYaroslavl 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/948спектральная краевая задачасобственные функциисобственные значенияхарактеристическое уравнение
spellingShingle V. I. Voytitsky
M. Y. Zlobina
Y. P. Kubyshkin
About the spectral problem arising from robotic manipulator mechanics
Моделирование и анализ информационных систем
спектральная краевая задача
собственные функции
собственные значения
характеристическое уравнение
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 спектральная краевая задача
собственные функции
собственные значения
характеристическое уравнение
url https://www.mais-journal.ru/jour/article/view/948
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