Infinitely many fast homoclinic solutions for some second-order nonautonomous systems

• Published in: Український математичний журнал
• Date: 2014
• Main Authors: Yang, Liu, Luo, Liping, Luo, Zhenguo
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2014
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/165985
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: 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.

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...