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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Format: | Article |
Language: | English |
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Yaroslavl State University
2009-09-01
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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. |
first_indexed | 2024-04-10T02:26:25Z |
format | Article |
id | doaj.art-c59253f848964444a1ea177116ea44e1 |
institution | Directory Open Access Journal |
issn | 1818-1015 2313-5417 |
language | English |
last_indexed | 2025-03-14T08:54:15Z |
publishDate | 2009-09-01 |
publisher | Yaroslavl State University |
record_format | Article |
series | Моделирование и анализ информационных систем |
spelling | doaj.art-c59253f848964444a1ea177116ea44e12025-03-02T12:46:53ZengYaroslavl 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 |