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Infinitely many fast homoclinic solutions for some second-order nonautonomous systems
We investigate the existence of infinitely many fast homoclinic solutions for a class of second-order nonautonomous systems. Our main tools are based on the variant fountain theorem. A criterion guaranteeing that the second-order system has infinitely many fast homoclinic solutions is obtained. Rece...
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Інститут математики НАН України
2014
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Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/165985 |
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irk-123456789-1659852020-02-18T01:27:51Z Infinitely many fast homoclinic solutions for some second-order nonautonomous systems Yang, Liu Luo, Liping Luo, Zhenguo Статті We investigate the existence of infinitely many fast homoclinic solutions for a class of second-order nonautonomous systems. Our main tools are based on the variant fountain theorem. A criterion guaranteeing that the second-order system has infinitely many fast homoclinic solutions is obtained. Recent results from the literature are generalized and significantly improved. Досліджєно існування нескінченної кількості швидких гомоклінічних розв'язків для класу неавтономних систем другого порядку. Наш основний метод базується на модифікації теореми про фонтан. Отримано критерій, що гарантує наявність нескінченної кількості швидких гомоклінічних розв'язків системи другого порядку. Узагальнено та значно покращено нещодавно опубліковані результати. 2014 Article Infinitely many fast homoclinic solutions for some second-order nonautonomous systems / Liu Yang, Liping Luo, Zhenguo Luo // Український математичний журнал. — 2014. — Т. 66, № 3. — С. 404–414. — Бібліогр.: 16 назв. — англ. 1027-3190 http://dspace.nbuv.gov.ua/handle/123456789/165985 517.9 en Український математичний журнал Інститут математики НАН України |
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Статті Статті Yang, Liu Luo, Liping Luo, Zhenguo Infinitely many fast homoclinic solutions for some second-order nonautonomous systems Український математичний журнал |
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We investigate the existence of infinitely many fast homoclinic solutions for a class of second-order nonautonomous systems. Our main tools are based on the variant fountain theorem. A criterion guaranteeing that the second-order system has infinitely many fast homoclinic solutions is obtained. Recent results from the literature are generalized and significantly improved. |
format |
Article |
author |
Yang, Liu Luo, Liping Luo, Zhenguo |
author_facet |
Yang, Liu Luo, Liping Luo, Zhenguo |
author_sort |
Yang, Liu |
title |
Infinitely many fast homoclinic solutions for some second-order nonautonomous systems |
title_short |
Infinitely many fast homoclinic solutions for some second-order nonautonomous systems |
title_full |
Infinitely many fast homoclinic solutions for some second-order nonautonomous systems |
title_fullStr |
Infinitely many fast homoclinic solutions for some second-order nonautonomous systems |
title_full_unstemmed |
Infinitely many fast homoclinic solutions for some second-order nonautonomous systems |
title_sort |
infinitely many fast homoclinic solutions for some second-order nonautonomous systems |
publisher |
Інститут математики НАН України |
publishDate |
2014 |
topic_facet |
Статті |
url |
http://dspace.nbuv.gov.ua/handle/123456789/165985 |
citation_txt |
Infinitely many fast homoclinic solutions for some second-order nonautonomous systems / Liu Yang, Liping Luo, Zhenguo Luo // Український математичний журнал. — 2014. — Т. 66, № 3. — С. 404–414. — Бібліогр.: 16 назв. — англ. |
series |
Український математичний журнал |
work_keys_str_mv |
AT yangliu infinitelymanyfasthomoclinicsolutionsforsomesecondordernonautonomoussystems AT luoliping infinitelymanyfasthomoclinicsolutionsforsomesecondordernonautonomoussystems AT luozhenguo infinitelymanyfasthomoclinicsolutionsforsomesecondordernonautonomoussystems |
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2023-10-18T22:17:27Z |
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2023-10-18T22:17:27Z |
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1796155129905283072 |