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
Автор: Skrypnik, W.I.
Формат: Стаття
Мова:English
Опубліковано: Інститут математики НАН України 2014
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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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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spelling 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
institution 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
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first_indexed 2023-10-18T22:17:33Z
last_indexed 2023-10-18T22:17:33Z
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