Periodic and bounded solutions of the Coulomb equation of motion of two and three point charges with equilibrium in the line
Periodic and bounded solutions of the Coulomb equation of motion in the line are obtained for two and three identical negative point charges in the fields of two and three symmetrically located fixed point charges. The systems possess equilibrium configurations. The Lyapunov, Siegel, Moser, and Wein...
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Дата: | 2014 |
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Формат: | Стаття |
Мова: | English |
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Інститут математики НАН України
2014
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Назва видання: | Український математичний журнал |
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Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/166071 |
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Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
Цитувати: | Periodic and bounded solutions of the Coulomb equation of motion of two and three point charges with equilibrium in the line / W.I. Skrypnik // Український математичний журнал. — 2014. — Т. 66, № 5. — С. 679–693 — Бібліогр.: 18 назв. — англ. |
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irk-123456789-1660712020-02-19T01:26:08Z Periodic and bounded solutions of the Coulomb equation of motion of two and three point charges with equilibrium in the line Skrypnik, W.I. Статті Periodic and bounded solutions of the Coulomb equation of motion in the line are obtained for two and three identical negative point charges in the fields of two and three symmetrically located fixed point charges. The systems possess equilibrium configurations. The Lyapunov, Siegel, Moser, and Weinstein theorems are applied. Знайдено періодичні та обмежені розв'язки рівнянь руху Кулона на прямій для двох та трьох однакових негативних точкових зарядів у полі двох та трьох точкових фіксованих зарядів, що симетрично розташовані. Ці системи мають рівноважні стани. При цьому використано теореми Ляпунова, Зігеля, Мозера та Вайнстайна. 2014 Article Periodic and bounded solutions of the Coulomb equation of motion of two and three point charges with equilibrium in the line / W.I. Skrypnik // Український математичний журнал. — 2014. — Т. 66, № 5. — С. 679–693 — Бібліогр.: 18 назв. — англ. 1027-3190 http://dspace.nbuv.gov.ua/handle/123456789/166071 517.9 en Український математичний журнал Інститут математики НАН України |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
collection |
DSpace DC |
language |
English |
topic |
Статті Статті |
spellingShingle |
Статті Статті Skrypnik, W.I. Periodic and bounded solutions of the Coulomb equation of motion of two and three point charges with equilibrium in the line Український математичний журнал |
description |
Periodic and bounded solutions of the Coulomb equation of motion in the line are obtained for two and three identical negative point charges in the fields of two and three symmetrically located fixed point charges. The systems possess equilibrium configurations. The Lyapunov, Siegel, Moser, and Weinstein theorems are applied. |
format |
Article |
author |
Skrypnik, W.I. |
author_facet |
Skrypnik, W.I. |
author_sort |
Skrypnik, W.I. |
title |
Periodic and bounded solutions of the Coulomb equation of motion of two and three point charges with equilibrium in the line |
title_short |
Periodic and bounded solutions of the Coulomb equation of motion of two and three point charges with equilibrium in the line |
title_full |
Periodic and bounded solutions of the Coulomb equation of motion of two and three point charges with equilibrium in the line |
title_fullStr |
Periodic and bounded solutions of the Coulomb equation of motion of two and three point charges with equilibrium in the line |
title_full_unstemmed |
Periodic and bounded solutions of the Coulomb equation of motion of two and three point charges with equilibrium in the line |
title_sort |
periodic and bounded solutions of the coulomb equation of motion of two and three point charges with equilibrium in the line |
publisher |
Інститут математики НАН України |
publishDate |
2014 |
topic_facet |
Статті |
url |
http://dspace.nbuv.gov.ua/handle/123456789/166071 |
citation_txt |
Periodic and bounded solutions of the Coulomb equation of motion of two and three point charges with equilibrium in the line / W.I. Skrypnik // Український математичний журнал. — 2014. — Т. 66, № 5. — С. 679–693 — Бібліогр.: 18 назв. — англ. |
series |
Український математичний журнал |
work_keys_str_mv |
AT skrypnikwi periodicandboundedsolutionsofthecoulombequationofmotionoftwoandthreepointchargeswithequilibriumintheline |
first_indexed |
2023-10-18T22:17:33Z |
last_indexed |
2023-10-18T22:17:33Z |
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1796155135207931904 |